120110102001 has 24 divisors (see below), whose sum is σ = 179482014504. Its totient is φ = 77340545280.

The previous prime is 120110101957. The next prime is 120110102009. The reversal of 120110102001 is 100201011021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38739686976 + 81370415025 = 196824^2 + 285255^2 .

It is not a de Polignac number, because 120110102001 - 2⁷ = 120110101873 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 (120110102009) 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, 1270770 + ... + 1362011.

It is an arithmetic number, because the mean of its divisors is an integer number (7478417271).

Almost surely, 2^120110102001 is an apocalyptic number.

It is an amenable number.

120110102001 is a deficient number, since it is larger than the sum of its proper divisors (59371912503).

120110102001 is a wasteful number, since it uses less digits than its factorization.

120110102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632961 (or 2632958 counting only the distinct ones).

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

Adding to 120110102001 its reverse (100201011021), we get a palindrome (220311113022).

It can be divided in two parts, 120110 and 102001, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 120110102001 in words is "one hundred twenty billion, one hundred ten million, one hundred two thousand, one".