10122122101 has 16 divisors (see below), whose sum is σ = 12597984000. Its totient is φ = 7918720128.

The previous prime is 10122122093. The next prime is 10122122117.

10122122101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10122122101 - 2³ = 10122122093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616801 + ... + 632998.

It is an arithmetic number, because the mean of its divisors is an integer number (787374000).

Almost surely, 2^10122122101 is an apocalyptic number.

It is an amenable number.

10122122101 is a deficient number, since it is larger than the sum of its proper divisors (2475861899).

10122122101 is a wasteful number, since it uses less digits than its factorization.

10122122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249908.

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

The spelling of 10122122101 in words is "ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".