21111110100120 has 64 divisors (see below), whose sum is σ = 64806198462720. Its totient is φ = 5498707745664.

The previous prime is 21111110100061. The next prime is 21111110100121. The reversal of 21111110100120 is 2100101111112.

It is a super-3 number, since 3×21111110100120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21111110100096 and 21111110100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111110100121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045645044 + ... + 2045655363.

It is an arithmetic number, because the mean of its divisors is an integer number (1012596850980).

Almost surely, 2^{21111110100120} is an apocalyptic number.

21111110100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111110100120 is an abundant number, since it is smaller than the sum of its proper divisors (43695088362600).

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

21111110100120 is a wasteful number, since it uses less digits than its factorization.

21111110100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091300464 (or 4091300460 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21111110100120 its reverse (2100101111112), we get a palindrome (23211211211232).

The spelling of 21111110100120 in words is "twenty-one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred twenty".