10120012012201 has 32 divisors (see below), whose sum is σ = 12628252546560. Its totient is φ = 7895961368064.

The previous prime is 10120012012181. The next prime is 10120012012223. The reversal of 10120012012201 is 10221021002101.

It is not a de Polignac number, because 10120012012201 - 2⁷ = 10120012012073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10120012012241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38284755 + ... + 38548183.

It is an arithmetic number, because the mean of its divisors is an integer number (394632892080).

Almost surely, 2^{10120012012201} is an apocalyptic number.

It is an amenable number.

10120012012201 is a deficient number, since it is larger than the sum of its proper divisors (2508240534359).

10120012012201 is a wasteful number, since it uses less digits than its factorization.

10120012012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269305.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120012012201 its reverse (10221021002101), we get a palindrome (20341033014302).

The spelling of 10120012012201 in words is "ten trillion, one hundred twenty billion, twelve million, twelve thousand, two hundred one".