101012079256200 has 384 divisors, whose sum is σ = 397659985632000. Its totient is φ = 23087015884800.

The previous prime is 101012079256163. The next prime is 101012079256229. The reversal of 101012079256200 is 2652970210101.

101012079256200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 2 + 0 + 7 + 9 + 25 + 620 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 667812580 + ... + 667963820.

It is an arithmetic number, because the mean of its divisors is an integer number (1035572879250).

Almost surely, 2^{101012079256200} is an apocalyptic number.

101012079256200 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 101012079256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198829992816000).

101012079256200 is an abundant number, since it is smaller than the sum of its proper divisors (296647906375800).

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

101012079256200 is a wasteful number, since it uses less digits than its factorization.

101012079256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168942 (or 168927 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 101012079256200 in words is "one hundred one trillion, twelve billion, seventy-nine million, two hundred fifty-six thousand, two hundred".