121332101123106 has 64 divisors (see below), whose sum is σ = 272259589904640. Its totient is φ = 40049172092160.

The previous prime is 121332101123087. The next prime is 121332101123111. The reversal of 121332101123106 is 601321101233121.

121332101123106 is a `hidden beast` number, since 1 + 2 + 1 + 332 + 1 + 0 + 1 + 12 + 310 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 121332101123106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102201136 + ... + 103381508.

It is an arithmetic number, because the mean of its divisors is an integer number (4254056092260).

Almost surely, 2^{121332101123106} is an apocalyptic number.

121332101123106 is an abundant number, since it is smaller than the sum of its proper divisors (150927488781534).

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

121332101123106 is a wasteful number, since it uses less digits than its factorization.

121332101123106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198968 (or 1198962 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 121332101123106 its reverse (601321101233121), we get a palindrome (722653202356227).

The spelling of 121332101123106 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, one hundred one million, one hundred twenty-three thousand, one hundred six".