120010102001001 has 24 divisors (see below), whose sum is σ = 177847862269896. Its totient is φ = 77935817276160.

The previous prime is 120010102000967. The next prime is 120010102001003. The reversal of 120010102001001 is 100100201010021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 676216760976 + 119333885240025 = 822324^2 + 10924005^2 .

It is not a de Polignac number, because 120010102001001 - 2¹⁵ = 120010101968233 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 (120010102001003) 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, 248787090 + ... + 249269003.

It is an arithmetic number, because the mean of its divisors is an integer number (7410327594579).

Almost surely, 2^{120010102001001} is an apocalyptic number.

It is an amenable number.

120010102001001 is a deficient number, since it is larger than the sum of its proper divisors (57837760268895).

120010102001001 is a wasteful number, since it uses less digits than its factorization.

120010102001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498056793 (or 498056790 counting only the distinct ones).

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

Adding to 120010102001001 its reverse (100100201010021), we get a palindrome (220110303011022).

The spelling of 120010102001001 in words is "one hundred twenty trillion, ten billion, one hundred two million, one thousand, one".