10100112000000 has 1848 divisors, whose sum is σ = 38795270914176. Its totient is φ = 2331648000000.

The previous prime is 10100111999987. The next prime is 10100112000023. The reversal of 10100112000000 is 21100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 214895999977 + ... + 214896000023.

Almost surely, 2^{10100112000000} is an apocalyptic number.

10100112000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397635457088).

10100112000000 is an abundant number, since it is smaller than the sum of its proper divisors (28695158914176).

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

10100112000000 is an frugal number, since it uses more digits than its factorization.

10100112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100112000000 its reverse (21100101), we get a palindrome (10100133100101).

The spelling of 10100112000000 in words is "ten trillion, one hundred billion, one hundred twelve million", and thus it is an aban number.