121121120012001 has 32 divisors (see below), whose sum is σ = 164106739601280. Its totient is φ = 79451114755584.

The previous prime is 121121120011949. The next prime is 121121120012017. The reversal of 121121120012001 is 100210021121121.

It is a happy number.

It is not a de Polignac number, because 121121120012001 - 2²² = 121121115817697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121121120012201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52298355 + ... + 54565191.

It is an arithmetic number, because the mean of its divisors is an integer number (5128335612540).

Almost surely, 2^{121121120012001} is an apocalyptic number.

It is an amenable number.

121121120012001 is a deficient number, since it is larger than the sum of its proper divisors (42985619589279).

121121120012001 is a wasteful number, since it uses less digits than its factorization.

121121120012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267905.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121121120012001 its reverse (100210021121121), we get a palindrome (221331141133122).

The spelling of 121121120012001 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, one".