22013213010100 has 72 divisors (see below), whose sum is σ = 52413811785720. Its totient is φ = 7974597895680.

The previous prime is 22013213010053. The next prime is 22013213010101. The reversal of 22013213010100 is 101031231022.

It can be written as a sum of positive squares in 12 ways, for example, as 7166478912784 + 14846734097316 = 2677028^2 + 3853146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013213010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159678655 + ... + 159816454.

It is an arithmetic number, because the mean of its divisors is an integer number (727969608135).

Almost surely, 2^{22013213010100} is an apocalyptic number.

22013213010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013213010100 is an abundant number, since it is smaller than the sum of its proper divisors (30400598775620).

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

22013213010100 is a wasteful number, since it uses less digits than its factorization.

22013213010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319495189 (or 319495182 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22013213010100 its reverse (101031231022), we get a palindrome (22114244241122).

The spelling of 22013213010100 in words is "twenty-two trillion, thirteen billion, two hundred thirteen million, ten thousand, one hundred".