10122011022100 has 36 divisors (see below), whose sum is σ = 21992323393404. Its totient is φ = 4043724321280.

The previous prime is 10122011022061. The next prime is 10122011022107. The reversal of 10122011022100 is 122011022101.

10122011022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 100911687556 + 10021099334544 = 317666^2 + 3165612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122011022107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63420997 + ... + 63580396.

It is an arithmetic number, because the mean of its divisors is an integer number (610897872039).

Almost surely, 2^{10122011022100} is an apocalyptic number.

10122011022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122011022100 is an abundant number, since it is smaller than the sum of its proper divisors (11870312371304).

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

10122011022100 is a wasteful number, since it uses less digits than its factorization.

10122011022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127002204 (or 127002197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122011022100 its reverse (122011022101), we get a palindrome (10244022044201).

Subtracting from 10122011022100 its reverse (122011022101), we obtain a palindrome (9999999999999).

The spelling of 10122011022100 in words is "ten trillion, one hundred twenty-two billion, eleven million, twenty-two thousand, one hundred".