121001122122001 has 16 divisors (see below), whose sum is σ = 132155437708800. Its totient is φ = 109872583804800.

The previous prime is 121001122121989. The next prime is 121001122122011. The reversal of 121001122122001 is 100221221100121.

It is a cyclic number.

It is not a de Polignac number, because 121001122122001 - 2¹⁵ = 121001122089233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121001122122011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30420021 + ... + 34166941.

It is an arithmetic number, because the mean of its divisors is an integer number (8259714856800).

Almost surely, 2^{121001122122001} is an apocalyptic number.

121001122122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121001122122001 is a deficient number, since it is larger than the sum of its proper divisors (11154315586799).

121001122122001 is a wasteful number, since it uses less digits than its factorization.

121001122122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750360.

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

Adding to 121001122122001 its reverse (100221221100121), we get a palindrome (221222343222122).

The spelling of 121001122122001 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, one".