10120120010001 has 24 divisors (see below), whose sum is σ = 14794354454880. Its totient is φ = 6665332867776.

The previous prime is 10120120009973. The next prime is 10120120010009. The reversal of 10120120010001 is 10001002102101.

It is a happy number.

It is not a de Polignac number, because 10120120010001 - 2⁷ = 10120120009873 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 (10120120010009) 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, 53973525 + ... + 54160701.

It is an arithmetic number, because the mean of its divisors is an integer number (616431435620).

Almost surely, 2^{10120120010001} is an apocalyptic number.

It is an amenable number.

10120120010001 is a deficient number, since it is larger than the sum of its proper divisors (4674234444879).

10120120010001 is a wasteful number, since it uses less digits than its factorization.

10120120010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259645 (or 259642 counting only the distinct ones).

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

Adding to 10120120010001 its reverse (10001002102101), we get a palindrome (20121122112102).

The spelling of 10120120010001 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, ten thousand, one".