10112112002221 has 2 divisors, whose sum is σ = 10112112002222. Its totient is φ = 10112112002220.

The previous prime is 10112112002219. The next prime is 10112112002231. The reversal of 10112112002221 is 12220021121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6890047512100 + 3222064490121 = 2624890^2 + 1795011^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112112002221 - 2¹ = 10112112002219 is a prime.

Together with 10112112002219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10112112002195 and 10112112002204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112112002231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056056001110 + 5056056001111.

It is an arithmetic number, because the mean of its divisors is an integer number (5056056001111).

Almost surely, 2^{10112112002221} is an apocalyptic number.

It is an amenable number.

10112112002221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112112002221 is an equidigital number, since it uses as much as digits as its factorization.

10112112002221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10112112002221 its reverse (12220021121101), we get a palindrome (22332133123322).

The spelling of 10112112002221 in words is "ten trillion, one hundred twelve billion, one hundred twelve million, two thousand, two hundred twenty-one".