22133012130100 has 36 divisors (see below), whose sum is σ = 48049582583884. Its totient is φ = 8849343790080.

The previous prime is 22133012130067. The next prime is 22133012130133. The reversal of 22133012130100 is 103121033122.

It is an interprime number because it is at equal distance from previous prime (22133012130067) and next prime (22133012130133).

It can be written as a sum of positive squares in 6 ways, for example, as 4311054910864 + 17821957219236 = 2076308^2 + 4221606^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48032829 + ... + 48491428.

Almost surely, 2^{22133012130100} is an apocalyptic number.

22133012130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133012130100 is an abundant number, since it is smaller than the sum of its proper divisors (25916570453784).

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

22133012130100 is a wasteful number, since it uses less digits than its factorization.

22133012130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96526564 (or 96526557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22133012130100 its reverse (103121033122), we get a palindrome (22236133163222).

The spelling of 22133012130100 in words is "twenty-two trillion, one hundred thirty-three billion, twelve million, one hundred thirty thousand, one hundred".