21755567043100 has 36 divisors (see below), whose sum is σ = 51501360530088. Its totient is φ = 7911115288000.

The previous prime is 21755567043073. The next prime is 21755567043107. The reversal of 21755567043100 is 134076555712.

It is a super-2 number, since 2×21755567043100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21755567043107) 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, 9888893011 + ... + 9888895210.

It is an arithmetic number, because the mean of its divisors is an integer number (1430593348058).

Almost surely, 2^{21755567043100} is an apocalyptic number.

21755567043100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21755567043100 is an abundant number, since it is smaller than the sum of its proper divisors (29745793486988).

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

21755567043100 is a wasteful number, since it uses less digits than its factorization.

21755567043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19777788246 (or 19777788239 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 21755567043100 in words is "twenty-one trillion, seven hundred fifty-five billion, five hundred sixty-seven million, forty-three thousand, one hundred".