21121102113120 has 288 divisors, whose sum is σ = 77172997224960. Its totient is φ = 5241420349440.

The previous prime is 21121102113073. The next prime is 21121102113143. The reversal of 21121102113120 is 2131120112112.

It is a happy number.

21121102113120 is a `hidden beast` number, since 21 + 12 + 110 + 211 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21121102113120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21121102113093 and 21121102113102.

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, 2668416 + ... + 7025855.

It is an arithmetic number, because the mean of its divisors is an integer number (267961795920).

Almost surely, 2^{21121102113120} is an apocalyptic number.

21121102113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121102113120 is an abundant number, since it is smaller than the sum of its proper divisors (56051895111840).

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

21121102113120 is a wasteful number, since it uses less digits than its factorization.

21121102113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694398 (or 9694387 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21121102113120 its reverse (2131120112112), we get a palindrome (23252222225232).

The spelling of 21121102113120 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, one hundred thirteen thousand, one hundred twenty".