10021020122200 has 96 divisors (see below), whose sum is σ = 23372589058560. Its totient is φ = 3995737113600.

The previous prime is 10021020122137. The next prime is 10021020122209. The reversal of 10021020122200 is 222102012001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021020122209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142517452 + ... + 142587748.

It is an arithmetic number, because the mean of its divisors is an integer number (243464469360).

Almost surely, 2^{10021020122200} is an apocalyptic number.

10021020122200 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 10021020122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686294529280).

10021020122200 is an abundant number, since it is smaller than the sum of its proper divisors (13351568936360).

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

10021020122200 is a wasteful number, since it uses less digits than its factorization.

10021020122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72557 (or 72548 counting only the distinct ones).

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

Adding to 10021020122200 its reverse (222102012001), we get a palindrome (10243122134201).

The spelling of 10021020122200 in words is "ten trillion, twenty-one billion, twenty million, one hundred twenty-two thousand, two hundred".