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101222111112 = 2334398083441
BaseRepresentation
bin101111001000101001…
…1101101011110001000
3100200021100021000112020
41132101103231132020
53124300330023422
6114300101044440
710212243514443
oct1362123553610
9320240230466
10101222111112
1139a23274291
121774b0b6720
139711a76205
144c834a865a
15297669195c
hex17914ed788

101222111112 has 32 divisors (see below), whose sum is σ = 258940286880. Its totient is φ = 32956035840.

The previous prime is 101222111083. The next prime is 101222111117. The reversal of 101222111112 is 211111222101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101222111091 and 101222111100.

It is not an unprimeable number, because it can be changed into a prime (101222111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49040689 + ... + 49042752.

It is an arithmetic number, because the mean of its divisors is an integer number (8091883965).

Almost surely, 2101222111112 is an apocalyptic number.

101222111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222111112 is an abundant number, since it is smaller than the sum of its proper divisors (157718175768).

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

101222111112 is a wasteful number, since it uses less digits than its factorization.

101222111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98083493 (or 98083489 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101222111112 its reverse (211111222101), we get a palindrome (312333333213).

The spelling of 101222111112 in words is "one hundred one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 98083441 196166882 294250323 392333764 588500646 784667528 1177001292 2354002584 4217587963 8435175926 12652763889 16870351852 25305527778 33740703704 50611055556 101222111112