102012002221 has 16 divisors (see below), whose sum is σ = 112316338800. Its totient is φ = 92220162048.

The previous prime is 102012002207. The next prime is 102012002243. The reversal of 102012002221 is 122200210201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6848390025 + 95163612196 = 82755^2 + 308486^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012002221 - 2³⁵ = 67652263853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012002621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440916 + ... + 631213.

It is an arithmetic number, because the mean of its divisors is an integer number (7019771175).

Almost surely, 2^102012002221 is an apocalyptic number.

It is an amenable number.

102012002221 is a deficient number, since it is larger than the sum of its proper divisors (10304336579).

102012002221 is a wasteful number, since it uses less digits than its factorization.

102012002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072368.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102012002221 its reverse (122200210201), we get a palindrome (224212212422).

The spelling of 102012002221 in words is "one hundred two billion, twelve million, two thousand, two hundred twenty-one".