10122102331003 has 16 divisors (see below), whose sum is σ = 10931559932160. Its totient is φ = 9317051883936.

The previous prime is 10122102330943. The next prime is 10122102331021. The reversal of 10122102331003 is 30013320122101.

10122102331003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10122102331003 - 2²⁹ = 10121565460091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122102331073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205262676 + ... + 205311982.

It is an arithmetic number, because the mean of its divisors is an integer number (683222495760).

Almost surely, 2^{10122102331003} is an apocalyptic number.

10122102331003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10122102331003 is a deficient number, since it is larger than the sum of its proper divisors (809457601157).

10122102331003 is a wasteful number, since it uses less digits than its factorization.

10122102331003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93666.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10122102331003 its reverse (30013320122101), we get a palindrome (40135422453104).

The spelling of 10122102331003 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, three hundred thirty-one thousand, three".