121012120100000 has 72 divisors (see below), whose sum is σ = 297784205145756. Its totient is φ = 48404848000000.

The previous prime is 121012120099999. The next prime is 121012120100029. The reversal of 121012120100000 is 1021210121.

It can be written as a sum of positive squares in 6 ways, for example, as 50668942076944 + 70343178023056 = 7118212^2 + 8387084^2 .

It is a super-2 number, since 2×121012120100000² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 604960601 + ... + 605160600.

Almost surely, 2^{121012120100000} is an apocalyptic number.

121012120100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012120100000 is an abundant number, since it is smaller than the sum of its proper divisors (176772085045756).

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

121012120100000 is an frugal number, since it uses more digits than its factorization.

121012120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210121236 (or 1210121208 counting only the distinct ones).

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

Adding to 121012120100000 its reverse (1021210121), we get a palindrome (121013141310121).

The spelling of 121012120100000 in words is "one hundred twenty-one trillion, twelve billion, one hundred twenty million, one hundred thousand".