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101102021020 = 225711135050051
BaseRepresentation
bin101111000101000100…
…1100110100110011100
3100122221222021210220001
41132022021212212130
53124024104133040
6114240131104044
710206254666530
oct1361211464634
9318858253801
10101102021020
1139971500880
1217716a42024
1396c2c1a2a0
144c71567bc0
15296ad6e59a
hex178a26699c

101102021020 has 96 divisors (see below), whose sum is σ = 285065335296. Its totient is φ = 29088288000.

The previous prime is 101102020997. The next prime is 101102021029. The reversal of 101102021020 is 20120201101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101102020988 and 101102021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102021029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2505006 + ... + 2545045.

It is an arithmetic number, because the mean of its divisors is an integer number (2969430576).

Almost surely, 2101102021020 is an apocalyptic number.

101102021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102021020 is an abundant number, since it is smaller than the sum of its proper divisors (183963314276).

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

101102021020 is a wasteful number, since it uses less digits than its factorization.

101102021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050091 (or 5050089 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102021020 its reverse (20120201101), we get a palindrome (121222222121).

The spelling of 101102021020 in words is "one hundred one billion, one hundred two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5050051 10100102 20200204 25250255 35350357 50500510 55550561 65650663 70700714 101001020 111101122 131301326 141401428 176751785 222202244 262602652 277752805 328253315 353503570 388853927 459554641 555505610 656506630 707007140 722157293 777707854 919109282 1111011220 1313013260 1444314586 1555415708 1838218564 1944269635 2297773205 2888629172 3610786465 3888539270 4595546410 5055101051 7221572930 7777078540 9191092820 10110202102 14443145860 20220404204 25275505255 50551010510 101102021020