10122022100 has 36 divisors (see below), whose sum is σ = 22050310044. Its totient is φ = 4033044480.

The previous prime is 10122022093. The next prime is 10122022103. The reversal of 10122022100 is 122022101.

It is a happy number.

10122022100 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 479960464 + 9642061636 = 21908^2 + 98194^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171227 + ... + 222626.

Almost surely, 2^10122022100 is an apocalyptic number.

10122022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122022100 is an abundant number, since it is smaller than the sum of its proper divisors (11928287944).

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

10122022100 is a wasteful number, since it uses less digits than its factorization.

10122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394124 (or 394117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122022100 its reverse (122022101), we get a palindrome (10244044201).

Subtracting from 10122022100 its reverse (122022101), we obtain a palindrome (9999999999).

The spelling of 10122022100 in words is "ten billion, one hundred twenty-two million, twenty-two thousand, one hundred".