102112012002221 has 4 divisors (see below), whose sum is σ = 109966782156252. Its totient is φ = 94257241848192.

The previous prime is 102112012002193. The next prime is 102112012002229. The reversal of 102112012002221 is 122200210211201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16888927228996 + 85223084773225 = 4109614^2 + 9231635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112012002221 is a prime.

It is a Duffinian number.

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 102112012002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112012002229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3927385076996 + ... + 3927385077021.

It is an arithmetic number, because the mean of its divisors is an integer number (27491695539063).

Almost surely, 2^{102112012002221} is an apocalyptic number.

It is an amenable number.

102112012002221 is a deficient number, since it is larger than the sum of its proper divisors (7854770154031).

102112012002221 is an equidigital number, since it uses as much as digits as its factorization.

102112012002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854770154030.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102112012002221 its reverse (122200210211201), we get a palindrome (224312222213422).

The spelling of 102112012002221 in words is "one hundred two trillion, one hundred twelve billion, twelve million, two thousand, two hundred twenty-one".