10002121011121 has 4 divisors (see below), whose sum is σ = 10214932096512. Its totient is φ = 9789309925732.

The previous prime is 10002121011061. The next prime is 10002121011139. The reversal of 10002121011121 is 12111012120001.

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 10002121011121 - 2¹⁷ = 10002120880049 is a prime.

It is a super-2 number, since 2×10002121011121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002121011151) 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, 106405542625 + ... + 106405542718.

It is an arithmetic number, because the mean of its divisors is an integer number (2553733024128).

Almost surely, 2^{10002121011121} is an apocalyptic number.

It is an amenable number.

10002121011121 is a deficient number, since it is larger than the sum of its proper divisors (212811085391).

10002121011121 is an equidigital number, since it uses as much as digits as its factorization.

10002121011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212811085390.

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

Adding to 10002121011121 its reverse (12111012120001), we get a palindrome (22113133131122).

The spelling of 10002121011121 in words is "ten trillion, two billion, one hundred twenty-one million, eleven thousand, one hundred twenty-one".