101021322200100 has 72 divisors (see below), whose sum is σ = 292293960426720. Its totient is φ = 26938502983680.

The previous prime is 101021322200081. The next prime is 101021322200143. The reversal of 101021322200100 is 1002223120101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101021322200100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12582319 + ... + 18983081.

It is an arithmetic number, because the mean of its divisors is an integer number (4059638339260).

Almost surely, 2^{101021322200100} is an apocalyptic number.

101021322200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021322200100 is an abundant number, since it is smaller than the sum of its proper divisors (191272638226620).

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

101021322200100 is a wasteful number, since it uses less digits than its factorization.

101021322200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453389 (or 6453382 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101021322200100 its reverse (1002223120101), we get a palindrome (102023545320201).

The spelling of 101021322200100 in words is "one hundred one trillion, twenty-one billion, three hundred twenty-two million, two hundred thousand, one hundred".