101021012000112 has 80 divisors (see below), whose sum is σ = 261053889481728. Its totient is φ = 33662970312960.

The previous prime is 101021012000089. The next prime is 101021012000137. The reversal of 101021012000112 is 211000210120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 2403924733 + ... + 2403966755.

Almost surely, 2^{101021012000112} is an apocalyptic number.

101021012000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021012000112 is an abundant number, since it is smaller than the sum of its proper divisors (160032877481616).

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

101021012000112 is a wasteful number, since it uses less digits than its factorization.

101021012000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56758 (or 56752 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021012000112 its reverse (211000210120101), we get a palindrome (312021222120213).

The spelling of 101021012000112 in words is "one hundred one trillion, twenty-one billion, twelve million, one hundred twelve", and thus it is an aban number.