2202121120100 has 216 divisors, whose sum is σ = 5326419920640. Its totient is φ = 789572044800.

The previous prime is 2202121120097. The next prime is 2202121120181. The reversal of 2202121120100 is 10211212022.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297862004 + ... + 297869396.

Almost surely, 2^{2202121120100} is an apocalyptic number.

2202121120100 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 2202121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663209960320).

2202121120100 is an abundant number, since it is smaller than the sum of its proper divisors (3124298800540).

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

2202121120100 is a wasteful number, since it uses less digits than its factorization.

2202121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2202121120100 its reverse (10211212022), we get a palindrome (2212332332122).

The spelling of 2202121120100 in words is "two trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".