10120010120001 has 12 divisors (see below), whose sum is σ = 15387149890320. Its totient is φ = 6391585338840.

The previous prime is 10120010119991. The next prime is 10120010120009. The reversal of 10120010120001 is 10002101002101.

It is a happy number.

It is not a de Polignac number, because 10120010120001 - 2¹⁷ = 10120009988929 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10120010120009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29590672695 + ... + 29590673036.

It is an arithmetic number, because the mean of its divisors is an integer number (1282262490860).

Almost surely, 2^{10120010120001} is an apocalyptic number.

It is an amenable number.

10120010120001 is a deficient number, since it is larger than the sum of its proper divisors (5267139770319).

10120010120001 is a wasteful number, since it uses less digits than its factorization.

10120010120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59181345756 (or 59181345753 counting only the distinct ones).

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

Adding to 10120010120001 its reverse (10002101002101), we get a palindrome (20122111122102).

The spelling of 10120010120001 in words is "ten trillion, one hundred twenty billion, ten million, one hundred twenty thousand, one".