10022002022100 has 72 divisors (see below), whose sum is σ = 29267992541088. Its totient is φ = 2647556912000.

The previous prime is 10022002022099. The next prime is 10022002022143. The reversal of 10022002022100 is 122020022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 156073851 + ... + 156138050.

It is an arithmetic number, because the mean of its divisors is an integer number (406499896404).

Almost surely, 2^{10022002022100} is an apocalyptic number.

10022002022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022002022100 is an abundant number, since it is smaller than the sum of its proper divisors (19245990518988).

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

10022002022100 is a wasteful number, since it uses less digits than its factorization.

10022002022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312212025 (or 312212018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022002022100 its reverse (122020022001), we get a palindrome (10144022044101).

The spelling of 10022002022100 in words is "ten trillion, twenty-two billion, two million, twenty-two thousand, one hundred".