10002122011121 has 4 divisors (see below), whose sum is σ = 10005849975792. Its totient is φ = 9998394046452.

The previous prime is 10002122011103. The next prime is 10002122011177. The reversal of 10002122011121 is 12111022120001.

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 a de Polignac number, because none of the positive numbers 2^k-10002122011121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002122011096 and 10002122011105.

It is not an unprimeable number, because it can be changed into a prime (10002122014121) 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, 1863978311 + ... + 1863983676.

It is an arithmetic number, because the mean of its divisors is an integer number (2501462493948).

Almost surely, 2^{10002122011121} is an apocalyptic number.

It is an amenable number.

10002122011121 is a deficient number, since it is larger than the sum of its proper divisors (3727964671).

10002122011121 is an equidigital number, since it uses as much as digits as its factorization.

10002122011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727964670.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10002122011121 its reverse (12111022120001), we get a palindrome (22113144131122).

The spelling of 10002122011121 in words is "ten trillion, two billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".