10100120121 has 80 divisors (see below), whose sum is σ = 19662217344. Its totient is φ = 5014089216.

The previous prime is 10100120119. The next prime is 10100120159. The reversal of 10100120121 is 12102100101.

It is a happy number.

It is not a de Polignac number, because 10100120121 - 2¹ = 10100120119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100120161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85006 + ... + 165608.

Almost surely, 2^10100120121 is an apocalyptic number.

It is an amenable number.

10100120121 is a deficient number, since it is larger than the sum of its proper divisors (9562097223).

10100120121 is a wasteful number, since it uses less digits than its factorization.

10100120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80652 (or 80643 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100120121 its reverse (12102100101), we get a palindrome (22202220222).

The spelling of 10100120121 in words is "ten billion, one hundred million, one hundred twenty thousand, one hundred twenty-one".