10102120110121 has 8 divisors (see below), whose sum is σ = 10880061666824. Its totient is φ = 9324300752640.

The previous prime is 10102120110107. The next prime is 10102120110161. The reversal of 10102120110121 is 12101102120101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3981142278400 + 6120977831721 = 1995280^2 + 2474061^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102120110121 is a prime.

It is a super-2 number, since 2×10102120110121² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102120110161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30378066 + ... + 30708811.

It is an arithmetic number, because the mean of its divisors is an integer number (1360007708353).

Almost surely, 2^{10102120110121} is an apocalyptic number.

It is an amenable number.

10102120110121 is a deficient number, since it is larger than the sum of its proper divisors (777941556703).

10102120110121 is a wasteful number, since it uses less digits than its factorization.

10102120110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61099611.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102120110121 its reverse (12101102120101), we get a palindrome (22203222230222).

The spelling of 10102120110121 in words is "ten trillion, one hundred two billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-one".