10122201013 has 24 divisors (see below), whose sum is σ = 11008145664. Its totient is φ = 9301420800.

The previous prime is 10122200993. The next prime is 10122201017. The reversal of 10122201013 is 31010222101.

10122201013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122201013 - 2¹⁷ = 10122069941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122200984 and 10122201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122201017) 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, 8570283 + ... + 8571463.

It is an arithmetic number, because the mean of its divisors is an integer number (458672736).

Almost surely, 2^10122201013 is an apocalyptic number.

It is an amenable number.

10122201013 is a deficient number, since it is larger than the sum of its proper divisors (885944651).

10122201013 is a wasteful number, since it uses less digits than its factorization.

10122201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10122201013 its reverse (31010222101), we get a palindrome (41132423114).

The spelling of 10122201013 in words is "ten billion, one hundred twenty-two million, two hundred one thousand, thirteen".