21682118855100 has 144 divisors (see below), whose sum is σ = 70286291139456. Its totient is φ = 5114209824000.

The previous prime is 21682118855087. The next prime is 21682118855153. The reversal of 21682118855100 is 155881128612.

It is a super-2 number, since 2×21682118855100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21682118855100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88666266 + ... + 88910465.

It is an arithmetic number, because the mean of its divisors is an integer number (488099244024).

Almost surely, 2^{21682118855100} is an apocalyptic number.

21682118855100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21682118855100 is an abundant number, since it is smaller than the sum of its proper divisors (48604172284356).

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

21682118855100 is a wasteful number, since it uses less digits than its factorization.

21682118855100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177576796 (or 177576789 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 48.

The spelling of 21682118855100 in words is "twenty-one trillion, six hundred eighty-two billion, one hundred eighteen million, eight hundred fifty-five thousand, one hundred".