21102120011120 has 80 divisors (see below), whose sum is σ = 49267078848000. Its totient is φ = 8405691168000.

The previous prime is 21102120011117. The next prime is 21102120011173. The reversal of 21102120011120 is 2111002120112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21102120011120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21102120011095 and 21102120011104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25745381 + ... + 26552379.

It is an arithmetic number, because the mean of its divisors is an integer number (615838485600).

Almost surely, 2^{21102120011120} is an apocalyptic number.

21102120011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102120011120 is an abundant number, since it is smaller than the sum of its proper divisors (28164958836880).

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

21102120011120 is a wasteful number, since it uses less digits than its factorization.

21102120011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808374 (or 808368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21102120011120 its reverse (2111002120112), we get a palindrome (23213122131232).

The spelling of 21102120011120 in words is "twenty-one trillion, one hundred two billion, one hundred twenty million, eleven thousand, one hundred twenty".