121120012100 has 18 divisors (see below), whose sum is σ = 262830426474. Its totient is φ = 48448004800.

The previous prime is 121120012093. The next prime is 121120012159. The reversal of 121120012100 is 1210021121.

It can be written as a sum of positive squares in 3 ways, for example, as 394340164 + 120725671936 = 19858^2 + 347456^2 .

It is a super-2 number, since 2×121120012100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605599961 + ... + 605600160.

Almost surely, 2^121120012100 is an apocalyptic number.

121120012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120012100 is an abundant number, since it is smaller than the sum of its proper divisors (141710414374).

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

121120012100 is a wasteful number, since it uses less digits than its factorization.

121120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211200135 (or 1211200128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121120012100 its reverse (1210021121), we get a palindrome (122330033221).

The spelling of 121120012100 in words is "one hundred twenty-one billion, one hundred twenty million, twelve thousand, one hundred".