121012122001 has 8 divisors (see below), whose sum is σ = 121464114984. Its totient is φ = 120560280960.

The previous prime is 121012121999. The next prime is 121012122017. The reversal of 121012122001 is 100221210121.

It can be written as a sum of positive squares in 4 ways, for example, as 56584991376 + 64427130625 = 237876^2 + 253825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121012122001 - 2¹ = 121012121999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121012122061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706611 + ... + 1776103.

It is an arithmetic number, because the mean of its divisors is an integer number (15183014373).

Almost surely, 2^121012122001 is an apocalyptic number.

It is an amenable number.

121012122001 is a deficient number, since it is larger than the sum of its proper divisors (451992983).

121012122001 is an equidigital number, since it uses as much as digits as its factorization.

121012122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75971.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121012122001 its reverse (100221210121), we get a palindrome (221233332122).

The spelling of 121012122001 in words is "one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, one".