120010121001 has 24 divisors (see below), whose sum is σ = 174162007656. Its totient is φ = 79631308800.

The previous prime is 120010120949. The next prime is 120010121003. The reversal of 120010121001 is 100121010021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5123696400 + 114886424601 = 71580^2 + 338949^2 .

It is not a de Polignac number, because 120010121001 - 2¹⁹ = 120009596713 is a prime.

It is a super-2 number, since 2×120010121001² (a number of 23 digits) contains 22 as substring.

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 (120010121003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5930701 + ... + 5950901.

It is an arithmetic number, because the mean of its divisors is an integer number (7256750319).

Almost surely, 2^120010121001 is an apocalyptic number.

It is an amenable number.

120010121001 is a deficient number, since it is larger than the sum of its proper divisors (54151886655).

120010121001 is a wasteful number, since it uses less digits than its factorization.

120010121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23273 (or 23270 counting only the distinct ones).

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

Adding to 120010121001 its reverse (100121010021), we get a palindrome (220131131022).

The spelling of 120010121001 in words is "one hundred twenty billion, ten million, one hundred twenty-one thousand, one".