101112102112 has 72 divisors (see below), whose sum is σ = 237212841600. Its totient is φ = 42276810240.

The previous prime is 101112102107. The next prime is 101112102127. The reversal of 101112102112 is 211201211101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101112102092 and 101112102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722112 + ... + 850687.

It is an arithmetic number, because the mean of its divisors is an integer number (3294622800).

Almost surely, 2^101112102112 is an apocalyptic number.

It is an amenable number.

101112102112 is an abundant number, since it is smaller than the sum of its proper divisors (136100739488).

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

101112102112 is a wasteful number, since it uses less digits than its factorization.

101112102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572864 (or 1572849 counting only the distinct ones).

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

Adding to 101112102112 its reverse (211201211101), we get a palindrome (312313313213).

The spelling of 101112102112 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, one hundred twelve".