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101020110021 = 32174771241821
BaseRepresentation
bin101111000010101000…
…1001000110011000101
3100122202021011022010100
41132011101020303011
53123342122010041
6114224043314313
710204241524125
oct1360521106305
9318667138110
10101020110021
113992a244936
12176b351b999
1396abc6b13c
144c64724c85
152963a8e6b6
hex1785448cc5

101020110021 has 96 divisors (see below), whose sum is σ = 160870634496. Its totient is φ = 60834816000.

The previous prime is 101020110019. The next prime is 101020110029. The reversal of 101020110021 is 120011020101.

It is a happy number.

It is not a de Polignac number, because 101020110021 - 21 = 101020110019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101020109985 and 101020110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020110029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123044791 + ... + 123045611.

It is an arithmetic number, because the mean of its divisors is an integer number (1675735776).

Almost surely, 2101020110021 is an apocalyptic number.

It is an amenable number.

101020110021 is a deficient number, since it is larger than the sum of its proper divisors (59850524475).

101020110021 is a wasteful number, since it uses less digits than its factorization.

101020110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101020110021 its reverse (120011020101), we get a palindrome (221031130122).

The spelling of 101020110021 in words is "one hundred one billion, twenty million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 17 47 51 71 141 153 213 241 423 639 723 799 821 1207 2169 2397 2463 3337 3621 4097 7191 7389 10011 10863 11327 12291 13957 17111 30033 33981 36873 38587 41871 51333 56729 58291 101943 115761 125613 153999 170187 174873 192559 197861 290887 347283 510561 524619 577677 593583 655979 804217 872661 990947 1733031 1780749 1967937 2412651 2617983 2739677 2972841 3363637 5903811 7237953 8219031 8918523 9299467 10090911 13671689 14048131 24657093 27898401 30272733 41015067 42144393 46574509 83695203 123045201 126433179 139723527 158090939 238818227 419170581 474272817 660262157 716454681 1422818451 1980786471 2149364043 5942359413 11224456669 33673370007 101020110021