10122121121 has 16 divisors (see below), whose sum is σ = 11692561920. Its totient is φ = 8582932800.

The previous prime is 10122121091. The next prime is 10122121157. The reversal of 10122121121 is 12112122101.

It is a cyclic number.

It is not a de Polignac number, because 10122121121 - 2⁶ = 10122121057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122121096 and 10122121105.

It is not an unprimeable number, because it can be changed into a prime (10122121171) 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, 932795 + ... + 943583.

It is an arithmetic number, because the mean of its divisors is an integer number (730785120).

Almost surely, 2^10122121121 is an apocalyptic number.

It is an amenable number.

10122121121 is a deficient number, since it is larger than the sum of its proper divisors (1570440799).

10122121121 is a wasteful number, since it uses less digits than its factorization.

10122121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122121121 its reverse (12112122101), we get a palindrome (22234243222).

The spelling of 10122121121 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".