10002113121 has 64 divisors (see below), whose sum is σ = 18122065920. Its totient is φ = 4738314240.

The previous prime is 10002113117. The next prime is 10002113161. The reversal of 10002113121 is 12131120001.

It is not a de Polignac number, because 10002113121 - 2² = 10002113117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002113097 and 10002113106.

It is not an unprimeable number, because it can be changed into a prime (10002113161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229185 + ... + 269313.

It is an arithmetic number, because the mean of its divisors is an integer number (283157280).

Almost surely, 2^10002113121 is an apocalyptic number.

10002113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002113121 is a deficient number, since it is larger than the sum of its proper divisors (8119952799).

10002113121 is a wasteful number, since it uses less digits than its factorization.

10002113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40246.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10002113121 its reverse (12131120001), we get a palindrome (22133233122).

The spelling of 10002113121 in words is "ten billion, two million, one hundred thirteen thousand, one hundred twenty-one".