22029036120100 has 27 divisors (see below), whose sum is σ = 47803110230001. Its totient is φ = 8811595674000.

The previous prime is 22029036120097. The next prime is 22029036120101. The reversal of 22029036120100 is 102163092022.

The square root of 22029036120100 is 4693510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7930453003236 + 14098583116864 = 2816106^2 + 3754808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22029036120101) 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 8 ways as a sum of consecutive naturals, for example, 46700425 + ... + 47169775.

Almost surely, 2^{22029036120100} is an apocalyptic number.

22029036120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22029036120100 is the 4693510-th square number.

It is an amenable number.

22029036120100 is an abundant number, since it is smaller than the sum of its proper divisors (25774074109901).

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

22029036120100 is an frugal number, since it uses more digits than its factorization.

22029036120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938716 (or 469358 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 22029036120100 in words is "twenty-two trillion, twenty-nine billion, thirty-six million, one hundred twenty thousand, one hundred".