10102122121 has 16 divisors (see below), whose sum is σ = 12515738368. Its totient is φ = 7939944000.

The previous prime is 10102122119. The next prime is 10102122209. The reversal of 10102122121 is 12122120101.

It is a cyclic number.

It is not a de Polignac number, because 10102122121 - 2¹ = 10102122119 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10102122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353850 + ... + 381331.

It is an arithmetic number, because the mean of its divisors is an integer number (782233648).

Almost surely, 2^10102122121 is an apocalyptic number.

It is an amenable number.

10102122121 is a deficient number, since it is larger than the sum of its proper divisors (2413616247).

10102122121 is a wasteful number, since it uses less digits than its factorization.

10102122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735352.

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

Adding to 10102122121 its reverse (12122120101), we get a palindrome (22224242222).

The spelling of 10102122121 in words is "ten billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-one".