10002112121 has 8 divisors (see below), whose sum is σ = 10064632584. Its totient is φ = 9939646080.

The previous prime is 10002112067. The next prime is 10002112147. The reversal of 10002112121 is 12121120001.

It can be written as a sum of positive squares in 4 ways, for example, as 6914754025 + 3087358096 = 83155^2 + 55564^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10002112121 - 2²⁶ = 9935003257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10002112181) 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, 392645 + ... + 417341.

It is an arithmetic number, because the mean of its divisors is an integer number (1258079073).

Almost surely, 2^10002112121 is an apocalyptic number.

It is an amenable number.

10002112121 is a deficient number, since it is larger than the sum of its proper divisors (62520463).

10002112121 is a wasteful number, since it uses less digits than its factorization.

10002112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27211.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002112121 its reverse (12121120001), we get a palindrome (22123232122).

The spelling of 10002112121 in words is "ten billion, two million, one hundred twelve thousand, one hundred twenty-one".