10001122022100 has 144 divisors (see below), whose sum is σ = 31815739662336. Its totient is φ = 2405423664000.

The previous prime is 10001122022027. The next prime is 10001122022137. The reversal of 10001122022100 is 122022110001.

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 47 ways as a sum of consecutive naturals, for example, 11512566 + ... + 12350765.

It is an arithmetic number, because the mean of its divisors is an integer number (220942636544).

Almost surely, 2^{10001122022100} is an apocalyptic number.

10001122022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001122022100 is an abundant number, since it is smaller than the sum of its proper divisors (21814617640236).

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

10001122022100 is a wasteful number, since it uses less digits than its factorization.

10001122022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23863486 (or 23863479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001122022100 its reverse (122022110001), we get a palindrome (10123144132101).

The spelling of 10001122022100 in words is "ten trillion, one billion, one hundred twenty-two million, twenty-two thousand, one hundred".