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100101012110 = 251117711514993
BaseRepresentation
bin101110100111001111…
…1000011101010001110
3100120101012201021210222
41131032133003222032
53120001324341420
6113552532031342
710142411364311
oct1351637035216
9316335637728
10100101012110
11394a8458a90
1217497762552
139593718b18
144bb8636978
15290d03e225
hex174e7c3a8e

100101012110 has 128 divisors (see below), whose sum is σ = 212496058368. Its totient is φ = 33546240000.

The previous prime is 100101012079. The next prime is 100101012133. The reversal of 100101012110 is 11210101001.

It is a happy number.

100101012110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 20045774 + ... + 20050766.

It is an arithmetic number, because the mean of its divisors is an integer number (1660125456).

Almost surely, 2100101012110 is an apocalyptic number.

100101012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101012110 is an abundant number, since it is smaller than the sum of its proper divisors (112395046258).

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

100101012110 is a wasteful number, since it uses less digits than its factorization.

100101012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101012110 its reverse (11210101001), we get a palindrome (111311113111).

The spelling of 100101012110 in words is "one hundred billion, one hundred one million, twelve thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 71 85 110 142 151 170 187 302 355 374 710 755 781 935 1207 1510 1562 1661 1870 2414 2567 3322 3905 4993 5134 6035 7810 8305 9986 10721 12070 12835 13277 16610 21442 24965 25670 26554 28237 49930 53605 54923 56474 66385 84881 107210 109846 117931 132770 141185 169762 182257 235862 274615 282370 354503 364514 424405 549230 589655 709006 753943 848810 911285 933691 1179310 1507886 1772515 1822570 1867382 2004827 3545030 3769715 3899533 4009654 4668455 6026551 7539430 7799066 8293373 9336910 10024135 12053102 12817031 16586746 19497665 20048270 25634062 30132755 38995330 41466865 53529953 60265510 64085155 66292061 82933730 107059906 128170310 132584122 140987341 267649765 281974682 331460305 535299530 588829483 662920610 704936705 910009201 1177658966 1409873410 1820018402 2944147415 4550046005 5888294830 9100092010 10010101211 20020202422 50050506055 100101012110