10100120122001 has 48 divisors (see below), whose sum is σ = 13395830011200. Its totient is φ = 7526946010752.

The previous prime is 10100120121989. The next prime is 10100120122021. The reversal of 10100120122001 is 10022102100101.

It is not a de Polignac number, because 10100120122001 - 2¹⁰ = 10100120120977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100120122021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318071 + ... + 4505708.

It is an arithmetic number, because the mean of its divisors is an integer number (279079791900).

Almost surely, 2^{10100120122001} is an apocalyptic number.

It is an amenable number.

10100120122001 is a deficient number, since it is larger than the sum of its proper divisors (3295709889199).

10100120122001 is a wasteful number, since it uses less digits than its factorization.

10100120122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823998 (or 4823991 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100120122001 its reverse (10022102100101), we get a palindrome (20122222222102).

The spelling of 10100120122001 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred twenty-two thousand, one".