121102210100112 has 40 divisors (see below), whose sum is σ = 317516739922656. Its totient is φ = 39764904807936.

The previous prime is 121102210100107. The next prime is 121102210100159. The reversal of 121102210100112 is 211001012201121.

It is a happy number.

It is a super-2 number, since 2×121102210100112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121102210100091 and 121102210100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18828076713 + ... + 18828083144.

Almost surely, 2^{121102210100112} is an apocalyptic number.

121102210100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121102210100112 is an abundant number, since it is smaller than the sum of its proper divisors (196414529822544).

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

121102210100112 is a wasteful number, since it uses less digits than its factorization.

121102210100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37656159935 (or 37656159929 counting only the distinct ones).

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

Adding to 121102210100112 its reverse (211001012201121), we get a palindrome (332103222301233).

The spelling of 121102210100112 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred ten million, one hundred thousand, one hundred twelve".