101113012000 has 384 divisors, whose sum is σ = 333575843328. Its totient is φ = 29090304000.

The previous prime is 101113011997. The next prime is 101113012043. The reversal of 101113012000 is 210311101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3991374 + ... + 4016626.

It is an arithmetic number, because the mean of its divisors is an integer number (868687092).

Almost surely, 2^101113012000 is an apocalyptic number.

101113012000 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 101113012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166787921664).

101113012000 is an abundant number, since it is smaller than the sum of its proper divisors (232462831328).

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

101113012000 is a wasteful number, since it uses less digits than its factorization.

101113012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25309 (or 25291 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101113012000 its reverse (210311101), we get a palindrome (101323323101).

It can be divided in two parts, 10111 and 3012000, that added together give a triangular number (3022111 = T₂₄₅₈).

The spelling of 101113012000 in words is "one hundred one billion, one hundred thirteen million, twelve thousand".