101112102000 has 480 divisors, whose sum is σ = 434654263680. Its totient is φ = 21333196800.

The previous prime is 101112101971. The next prime is 101112102059. The reversal of 101112102000 is 201211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607136 + ... + 1668864.

It is an arithmetic number, because the mean of its divisors is an integer number (905529716).

Almost surely, 2^101112102000 is an apocalyptic number.

101112102000 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 101112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217327131840).

101112102000 is an abundant number, since it is smaller than the sum of its proper divisors (333542161680).

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

101112102000 is a wasteful number, since it uses less digits than its factorization.

101112102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61778 (or 61759 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101112102000 its reverse (201211101), we get a palindrome (101313313101).

The spelling of 101112102000 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand".