10122011303201 has 12 divisors (see below), whose sum is σ = 11775416160852. Its totient is φ = 8675396942688.

The previous prime is 10122011303191. The next prime is 10122011303291. The reversal of 10122011303201 is 10230311022101.

10122011303201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7461119565025 + 2660891738176 = 2731505^2 + 1631224^2 .

It is not a de Polignac number, because 10122011303201 - 2³⁸ = 9847133396257 is a prime.

It is a super-2 number, since 2×10122011303201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122011303201.

It is not an unprimeable number, because it can be changed into a prime (10122011303291) 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, 6593030 + ... + 7981983.

It is an arithmetic number, because the mean of its divisors is an integer number (981284680071).

Almost surely, 2^{10122011303201} is an apocalyptic number.

It is an amenable number.

10122011303201 is a deficient number, since it is larger than the sum of its proper divisors (1653404857651).

10122011303201 is a wasteful number, since it uses less digits than its factorization.

10122011303201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14589200 (or 14589193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10122011303201 its reverse (10230311022101), we get a palindrome (20352322325302).

The spelling of 10122011303201 in words is "ten trillion, one hundred twenty-two billion, eleven million, three hundred three thousand, two hundred one".