10221200200120 has 128 divisors (see below), whose sum is σ = 28362987878400. Its totient is φ = 3228198437376.

The previous prime is 10221200200117. The next prime is 10221200200153. The reversal of 10221200200120 is 2100200212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10221200200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110300 + ... + 4655659.

It is an arithmetic number, because the mean of its divisors is an integer number (221585842800).

Almost surely, 2^{10221200200120} is an apocalyptic number.

10221200200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221200200120 is an abundant number, since it is smaller than the sum of its proper divisors (18141787678280).

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

10221200200120 is a wasteful number, since it uses less digits than its factorization.

10221200200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766477 (or 5766473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10221200200120 its reverse (2100200212201), we get a palindrome (12321400412321).

The spelling of 10221200200120 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred thousand, one hundred twenty".