121314312707100 has 108 divisors (see below), whose sum is σ = 360745700188104. Its totient is φ = 31476145893120.

The previous prime is 121314312707057. The next prime is 121314312707171. The reversal of 121314312707100 is 1707213413121.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 147281427 + ... + 148102826.

Almost surely, 2^{121314312707100} is an apocalyptic number.

121314312707100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121314312707100 is an abundant number, since it is smaller than the sum of its proper divisors (239431387481004).

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

121314312707100 is a wasteful number, since it uses less digits than its factorization.

121314312707100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295384344 (or 295384300 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 121314312707100 in words is "one hundred twenty-one trillion, three hundred fourteen billion, three hundred twelve million, seven hundred seven thousand, one hundred".