100202220210120 has 128 divisors (see below), whose sum is σ = 343556799632640. Its totient is φ = 22902942597120.

The previous prime is 100202220210083. The next prime is 100202220210187. The reversal of 100202220210120 is 21012022202001.

100202220210120 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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 100202220210120.

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, 45700864 + ... + 47843216.

It is an arithmetic number, because the mean of its divisors is an integer number (2684037497130).

Almost surely, 2^{100202220210120} is an apocalyptic number.

100202220210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202220210120 is an abundant number, since it is smaller than the sum of its proper divisors (243354579422520).

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

100202220210120 is a wasteful number, since it uses less digits than its factorization.

100202220210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198055 (or 2198051 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100202220210120 its reverse (21012022202001), we get a palindrome (121214242412121).

The spelling of 100202220210120 in words is "one hundred trillion, two hundred two billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".