101365621600 has 72 divisors (see below), whose sum is σ = 247871744568. Its totient is φ = 40478592000.

The previous prime is 101365621589. The next prime is 101365621603. The reversal of 101365621600 is 6126563101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101365621603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375387 + ... + 586213.

It is an arithmetic number, because the mean of its divisors is an integer number (3442663119).

Almost surely, 2^101365621600 is an apocalyptic number.

101365621600 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 101365621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123935872284).

101365621600 is an abundant number, since it is smaller than the sum of its proper divisors (146506122968).

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

101365621600 is a wasteful number, since it uses less digits than its factorization.

101365621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211448 (or 211435 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 101365621600 in words is "one hundred one billion, three hundred sixty-five million, six hundred twenty-one thousand, six hundred".