101206110787200 has 1536 divisors, whose sum is σ = 402034953830400. Its totient is φ = 24789473280000.

The previous prime is 101206110787153. The next prime is 101206110787237. The reversal of 101206110787200 is 2787011602101.

101206110787200 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 611 + 0 + 7 + 8 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8070012930 + ... + 8070025470.

It is an arithmetic number, because the mean of its divisors is an integer number (261741506400).

Almost surely, 2^{101206110787200} is an apocalyptic number.

101206110787200 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 101206110787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201017476915200).

101206110787200 is an abundant number, since it is smaller than the sum of its proper divisors (300828843043200).

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

101206110787200 is a wasteful number, since it uses less digits than its factorization.

101206110787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12759 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 101206110787200 in words is "one hundred one trillion, two hundred six billion, one hundred ten million, seven hundred eighty-seven thousand, two hundred".