21680742013100 has 54 divisors (see below), whose sum is σ = 49653703889244. Its totient is φ = 8215860117600.

The previous prime is 21680742013031. The next prime is 21680742013103. The reversal of 21680742013100 is 131024708612.

It is a super-2 number, since 2×21680742013100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21680742013103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 300251186 + ... + 300323385.

It is an arithmetic number, because the mean of its divisors is an integer number (919513034986).

Almost surely, 2^{21680742013100} is an apocalyptic number.

21680742013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21680742013100 is an abundant number, since it is smaller than the sum of its proper divisors (27972961876144).

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

21680742013100 is a wasteful number, since it uses less digits than its factorization.

21680742013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600574623 (or 600574597 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 21680742013100 in words is "twenty-one trillion, six hundred eighty billion, seven hundred forty-two million, thirteen thousand, one hundred".