10002111122121 has 4 divisors (see below), whose sum is σ = 13336148162832. Its totient is φ = 6668074081412.

The previous prime is 10002111122119. The next prime is 10002111122149. The reversal of 10002111122121 is 12122111120001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10002111122121 - 2¹ = 10002111122119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002111122121.

It is not an unprimeable number, because it can be changed into a prime (10002111122161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1667018520351 + ... + 1667018520356.

It is an arithmetic number, because the mean of its divisors is an integer number (3334037040708).

Almost surely, 2^{10002111122121} is an apocalyptic number.

It is an amenable number.

10002111122121 is a deficient number, since it is larger than the sum of its proper divisors (3334037040711).

10002111122121 is an equidigital number, since it uses as much as digits as its factorization.

10002111122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334037040710.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10002111122121 its reverse (12122111120001), we get a palindrome (22124222242122).

The spelling of 10002111122121 in words is "ten trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".