121102112122000 has 80 divisors (see below), whose sum is σ = 294050117088000. Its totient is φ = 48238163299200.

The previous prime is 121102112121971. The next prime is 121102112122039. The reversal of 121102112122000 is 221211201121.

121102112122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126197850 + ... + 127153849.

It is an arithmetic number, because the mean of its divisors is an integer number (3675626463600).

Almost surely, 2^{121102112122000} is an apocalyptic number.

121102112122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121102112122000 is an abundant number, since it is smaller than the sum of its proper divisors (172948004966000).

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

121102112122000 is a wasteful number, since it uses less digits than its factorization.

121102112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253351961 (or 253351945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121102112122000 its reverse (221211201121), we get a palindrome (121323323323121).

The spelling of 121102112122000 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand".