21331100114120 has 32 divisors (see below), whose sum is σ = 47996300227320. Its totient is φ = 8532204495360.

The previous prime is 21331100114113. The next prime is 21331100114141. The reversal of 21331100114120 is 2141100113312.

It can be written as a sum of positive squares in 4 ways, for example, as 11567712485956 + 9763387628164 = 3401134^2 + 3124642^2 .

It is a super-2 number, since 2×21331100114120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21331100114092 and 21331100114101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5890271 + ... + 8795310.

Almost surely, 2^{21331100114120} is an apocalyptic number.

21331100114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331100114120 is an abundant number, since it is smaller than the sum of its proper divisors (26665200113200).

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

21331100114120 is a wasteful number, since it uses less digits than its factorization.

21331100114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14721905 (or 14721901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21331100114120 its reverse (2141100113312), we get a palindrome (23472200227432).

The spelling of 21331100114120 in words is "twenty-one trillion, three hundred thirty-one billion, one hundred million, one hundred fourteen thousand, one hundred twenty".