10002110121 has 48 divisors (see below), whose sum is σ = 15525269760. Its totient is φ = 6427330560.

The previous prime is 10002110113. The next prime is 10002110143. The reversal of 10002110121 is 12101120001.

It is a happy number.

It is not a de Polignac number, because 10002110121 - 2³ = 10002110113 is a prime.

It is a super-2 number, since 2×10002110121² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10002110621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8124576 + ... + 8125806.

It is an arithmetic number, because the mean of its divisors is an integer number (323443120).

Almost surely, 2^10002110121 is an apocalyptic number.

It is an amenable number.

10002110121 is a deficient number, since it is larger than the sum of its proper divisors (5523159639).

10002110121 is a wasteful number, since it uses less digits than its factorization.

10002110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002110121 its reverse (12101120001), we get a palindrome (22103230122).

The spelling of 10002110121 in words is "ten billion, two million, one hundred ten thousand, one hundred twenty-one".