21111011102112 has 24 divisors (see below), whose sum is σ = 55416404143296. Its totient is φ = 7037003700672.

The previous prime is 21111011102099. The next prime is 21111011102131. The reversal of 21111011102112 is 21120111011112.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21111011102112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21111011102091 and 21111011102100.

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 3 ways as a sum of consecutive naturals, for example, 109953182728 + ... + 109953182919.

It is an arithmetic number, because the mean of its divisors is an integer number (2309016839304).

Almost surely, 2^{21111011102112} is an apocalyptic number.

It is an amenable number.

21111011102112 is an abundant number, since it is smaller than the sum of its proper divisors (34305393041184).

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

21111011102112 is a wasteful number, since it uses less digits than its factorization.

21111011102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219906365660 (or 219906365652 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 21111011102112 its reverse (21120111011112), we get a palindrome (42231122113224).

The spelling of 21111011102112 in words is "twenty-one trillion, one hundred eleven billion, eleven million, one hundred two thousand, one hundred twelve".