101002221112200 has 96 divisors (see below), whose sum is σ = 313222300332000. Its totient is φ = 26923997468160.

The previous prime is 101002221112187. The next prime is 101002221112201. The reversal of 101002221112200 is 2211122200101.

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 101002221112200.

It is not an unprimeable number, because it can be changed into a prime (101002221112201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29396350 + ... + 32651949.

It is an arithmetic number, because the mean of its divisors is an integer number (3262732295125).

Almost surely, 2^{101002221112200} is an apocalyptic number.

101002221112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002221112200 is an abundant number, since it is smaller than the sum of its proper divisors (212220079219800).

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

101002221112200 is a wasteful number, since it uses less digits than its factorization.

101002221112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62051031 (or 62051022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002221112200 its reverse (2211122200101), we get a palindrome (103213343312301).

The spelling of 101002221112200 in words is "one hundred one trillion, two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".