21121120100112 has 20 divisors (see below), whose sum is σ = 54562893592080. Its totient is φ = 7040373366688.

The previous prime is 21121120100099. The next prime is 21121120100147. The reversal of 21121120100112 is 21100102112112.

It is a happy number.

It is a super-2 number, since 2×21121120100112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121120100091 and 21121120100100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220011667662 + ... + 220011667757.

It is an arithmetic number, because the mean of its divisors is an integer number (2728144679604).

Almost surely, 2^{21121120100112} is an apocalyptic number.

It is an amenable number.

21121120100112 is an abundant number, since it is smaller than the sum of its proper divisors (33441773491968).

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

21121120100112 is a wasteful number, since it uses less digits than its factorization.

21121120100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440023335430 (or 440023335424 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21121120100112 its reverse (21100102112112), we get a palindrome (42221222212224).

The spelling of 21121120100112 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thousand, one hundred twelve".