10122102203101 has 48 divisors (see below), whose sum is σ = 12560101081920. Its totient is φ = 8104989150720.

The previous prime is 10122102203041. The next prime is 10122102203141. The reversal of 10122102203101 is 10130220122101.

It is not a de Polignac number, because 10122102203101 - 2¹⁷ = 10122102072029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122102203141) 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 47 ways as a sum of consecutive naturals, for example, 630220611 + ... + 630236671.

It is an arithmetic number, because the mean of its divisors is an integer number (261668772540).

Almost surely, 2^{10122102203101} is an apocalyptic number.

It is an amenable number.

10122102203101 is a deficient number, since it is larger than the sum of its proper divisors (2437998878819).

10122102203101 is a wasteful number, since it uses less digits than its factorization.

10122102203101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21674 (or 21667 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10122102203101 its reverse (10130220122101), we get a palindrome (20252322325202).

The spelling of 10122102203101 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, two hundred three thousand, one hundred one".