101206021725600 has 576 divisors, whose sum is σ = 381960662952960. Its totient is φ = 23017811558400.

The previous prime is 101206021725593. The next prime is 101206021725647. The reversal of 101206021725600 is 6527120602101.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 50685352 + ... + 52644248.

It is an arithmetic number, because the mean of its divisors is an integer number (663126150960).

Almost surely, 2^{101206021725600} is an apocalyptic number.

101206021725600 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 101206021725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190980331476480).

101206021725600 is an abundant number, since it is smaller than the sum of its proper divisors (280754641227360).

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

101206021725600 is a wasteful number, since it uses less digits than its factorization.

101206021725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959053 (or 1959040 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 101206021725600 in words is "one hundred one trillion, two hundred six billion, twenty-one million, seven hundred twenty-five thousand, six hundred".