10002122112011 has 8 divisors (see below), whose sum is σ = 10402512058224. Its totient is φ = 9609358641120.

The previous prime is 10002122111983. The next prime is 10002122112023. The reversal of 10002122112011 is 11021122120001.

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 10002122112011 - 2¹⁰ = 10002122110987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002122132011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1906616156 + ... + 1906621401.

It is an arithmetic number, because the mean of its divisors is an integer number (1300314007278).

Almost surely, 2^{10002122112011} is an apocalyptic number.

10002122112011 is a deficient number, since it is larger than the sum of its proper divisors (400389946213).

10002122112011 is an equidigital number, since it uses as much as digits as its factorization.

10002122112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813237661.

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

Adding to 10002122112011 its reverse (11021122120001), we get a palindrome (21023244232012).

The spelling of 10002122112011 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, eleven".