101112112010 has 48 divisors (see below), whose sum is σ = 228002271336. Its totient is φ = 32000314752.

The previous prime is 101112112007. The next prime is 101112112039. The reversal of 101112112010 is 10211211101.

101112112010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90740115361 + 10371996649 = 301231^2 + 101843^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112111982 and 101112112000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7930217 + ... + 7942956.

Almost surely, 2^101112112010 is an apocalyptic number.

101112112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112112010 is an abundant number, since it is smaller than the sum of its proper divisors (126890159326).

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

101112112010 is a wasteful number, since it uses less digits than its factorization.

101112112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15873207 (or 15873200 counting only the distinct ones).

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

Adding to 101112112010 its reverse (10211211101), we get a palindrome (111323323111).

Subtracting from 101112112010 its reverse (10211211101), we obtain a palindrome (90900900909).

The spelling of 101112112010 in words is "one hundred one billion, one hundred twelve million, one hundred twelve thousand, ten".