10112100010112 has 32 divisors (see below), whose sum is σ = 20145351415500. Its totient is φ = 5056011811840.

The previous prime is 10112100010091. The next prime is 10112100010121. The reversal of 10112100010112 is 21101000121101.

It can be written as a sum of positive squares in 2 ways, for example, as 9789539622976 + 322560387136 = 3128824^2 + 567944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10112100010112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112100010093 and 10112100010102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25173014 + ... + 25571562.

Almost surely, 2^{10112100010112} is an apocalyptic number.

It is an amenable number.

10112100010112 is a deficient number, since it is larger than the sum of its proper divisors (10033251405388).

10112100010112 is an equidigital number, since it uses as much as digits as its factorization.

10112100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596784 (or 596772 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10112100010112 its reverse (21101000121101), we get a palindrome (31213100131213).

The spelling of 10112100010112 in words is "ten trillion, one hundred twelve billion, one hundred million, ten thousand, one hundred twelve".