21145356662100 has 144 divisors (see below), whose sum is σ = 67028885501760. Its totient is φ = 5104146252800.

The previous prime is 21145356662077. The next prime is 21145356662137. The reversal of 21145356662100 is 126665354112.

It is a super-2 number, since 2×21145356662100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12981495 + ... + 14519294.

It is an arithmetic number, because the mean of its divisors is an integer number (465478371540).

Almost surely, 2^{21145356662100} is an apocalyptic number.

21145356662100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21145356662100 is an abundant number, since it is smaller than the sum of its proper divisors (45883528839660).

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

21145356662100 is a wasteful number, since it uses less digits than its factorization.

21145356662100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27501050 (or 27501043 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 21145356662100 in words is "twenty-one trillion, one hundred forty-five billion, three hundred fifty-six million, six hundred sixty-two thousand, one hundred".