2202100120100 has 144 divisors (see below), whose sum is σ = 5066885281920. Its totient is φ = 829277568000.

The previous prime is 2202100120097. The next prime is 2202100120133. The reversal of 2202100120100 is 10210012022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74930009 + ... + 74959391.

Almost surely, 2^{2202100120100} is an apocalyptic number.

2202100120100 is a gapful number since it is divisible by the number (20) 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 2202100120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533442640960).

2202100120100 is an abundant number, since it is smaller than the sum of its proper divisors (2864785161820).

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

2202100120100 is a wasteful number, since it uses less digits than its factorization.

2202100120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30070 (or 30063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2202100120100 its reverse (10210012022), we get a palindrome (2212310132122).

The spelling of 2202100120100 in words is "two trillion, two hundred two billion, one hundred million, one hundred twenty thousand, one hundred".