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102010021201110 = 235113778710615793
BaseRepresentation
bin10111001100011100001111…
…000100111100010011010110
3111101012001200202211010211110
4113030130033010330103112
5101332313010411413420
61000542431244515450
730325660264353141
oct2714341704742326
9441161622733743
10102010021201110
112a55a230632750
12b53628584bb86
1344bc6718ab7c9
141b29450583058
15bbd7ac446ee0
hex5cc70f13c4d6

102010021201110 has 128 divisors (see below), whose sum is σ = 274647745903104. Its totient is φ = 24030756034560.

The previous prime is 102010021201097. The next prime is 102010021201229. The reversal of 102010021201110 is 11102120010201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4301374 + ... + 14917166.

It is an arithmetic number, because the mean of its divisors is an integer number (2145685514868).

Almost surely, 2102010021201110 is an apocalyptic number.

102010021201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010021201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137323872951552).

102010021201110 is an abundant number, since it is smaller than the sum of its proper divisors (172637724701994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102010021201110 is a wasteful number, since it uses less digits than its factorization.

102010021201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616638.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102010021201110 its reverse (11102120010201), we get a palindrome (113112141211311).

The spelling of 102010021201110 in words is "one hundred two trillion, ten billion, twenty-one million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 787 814 1110 1221 1574 2035 2361 2442 3935 4070 4722 6105 7870 8657 11805 12210 17314 23610 25971 29119 43285 51942 58238 86570 87357 129855 145595 174714 259710 291190 320309 436785 640618 873570 960927 1601545 1921854 3203090 4804635 9609270 10615793 21231586 31847379 53078965 63694758 106157930 116773723 159236895 233547446 318473790 350321169 392784341 583868615 700642338 785568682 1167737230 1178353023 1751605845 1963921705 2356706046 3503211690 3927843410 4320627751 5891765115 8354629091 8641255502 11783530230 12961883253 16709258182 21603138755 25063887273 25923766506 41773145455 43206277510 50127774546 64809416265 83546290910 91900920001 125319436365 129618832530 183801840002 250638872730 275702760003 309121276367 459504600005 551405520006 618242552734 919009200010 927363829101 1378513800015 1545606381835 1854727658202 2757027600030 3091212763670 3400334040037 4636819145505 6800668080074 9273638291010 10201002120111 17001670200185 20402004240222 34003340400370 51005010600555 102010021201110