10122210202100 has 72 divisors (see below), whose sum is σ = 22323618072000. Its totient is φ = 3983272761600.

The previous prime is 10122210202067. The next prime is 10122210202121. The reversal of 10122210202100 is 120201222101.

10122210202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086506 + ... + 4628705.

It is an arithmetic number, because the mean of its divisors is an integer number (310050251000).

Almost surely, 2^{10122210202100} is an apocalyptic number.

10122210202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122210202100 is an abundant number, since it is smaller than the sum of its proper divisors (12201407869900).

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

10122210202100 is a wasteful number, since it uses less digits than its factorization.

10122210202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715513 (or 5715506 counting only the distinct ones).

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

Adding to 10122210202100 its reverse (120201222101), we get a palindrome (10242411424201).

The spelling of 10122210202100 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred".