121122110112100 has 36 divisors (see below), whose sum is σ = 263225521405924. Its totient is φ = 48376854650880.

The previous prime is 121122110112089. The next prime is 121122110112163. The reversal of 121122110112100 is 1211011221121.

It can be written as a sum of positive squares in 6 ways, for example, as 1048203297124 + 120073906814976 = 1023818^2 + 10957824^2 .

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 11 ways as a sum of consecutive naturals, for example, 899799789 + ... + 899934388.

Almost surely, 2^{121122110112100} is an apocalyptic number.

121122110112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122110112100 is an abundant number, since it is smaller than the sum of its proper divisors (142103411293824).

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

121122110112100 is a wasteful number, since it uses less digits than its factorization.

121122110112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799734864 (or 1799734857 counting only the distinct ones).

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

Adding to 121122110112100 its reverse (1211011221121), we get a palindrome (122333121333221).

The spelling of 121122110112100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, one hundred".