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101102211112 = 23718122344729
BaseRepresentation
bin101111000101000101…
…0010101000000101000
3100122221222122110122111
41132022022111000220
53124024131223422
6114240135132104
710206256420660
oct1361212250050
9318858573574
10101102211112
1139971620681
1217716b14034
1396c2c85976
144c715b71a0
15296adaaa77
hex178a295028

101102211112 has 64 divisors (see below), whose sum is σ = 218826316800. Its totient is φ = 42895941120.

The previous prime is 101102211109. The next prime is 101102211127. The reversal of 101102211112 is 211112201101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101102211092 and 101102211101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2237964 + ... + 2282692.

It is an arithmetic number, because the mean of its divisors is an integer number (3419161200).

Almost surely, 2101102211112 is an apocalyptic number.

It is an amenable number.

101102211112 is an abundant number, since it is smaller than the sum of its proper divisors (117724105688).

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

101102211112 is a wasteful number, since it uses less digits than its factorization.

101102211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45146 (or 45142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101102211112 its reverse (211112201101), we get a palindrome (312214412213).

It can be divided in two parts, 10110 and 2211112, that added together give a palindrome (2221222).

The spelling of 101102211112 in words is "one hundred one billion, one hundred two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 181 223 362 446 724 892 1267 1448 1561 1784 2534 3122 5068 6244 10136 12488 40363 44729 80726 89458 161452 178916 282541 313103 322904 357832 565082 626206 1130164 1252412 2260328 2504824 8095949 9974567 16191898 19949134 32383796 39898268 56671643 64767592 69821969 79796536 113343286 139643938 226686572 279287876 453373144 558575752 1805396627 3610793254 7221586508 12637776389 14443173016 25275552778 50551105556 101102211112