102103222301201 has 12 divisors (see below), whose sum is σ = 112365859938612. Its totient is φ = 92708052492000.

The previous prime is 102103222301189. The next prime is 102103222301293.

102103222301201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 70025951158801 + 32077271142400 = 8368151^2 + 5663680^2 .

It is not a de Polignac number, because 102103222301201 - 2³⁰ = 102102148559377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102103222351201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513803390 + ... + 514002071.

It is an arithmetic number, because the mean of its divisors is an integer number (9363821661551).

Almost surely, 2^{102103222301201} is an apocalyptic number.

102103222301201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102103222301201 is a deficient number, since it is larger than the sum of its proper divisors (10262637637411).

102103222301201 is a wasteful number, since it uses less digits than its factorization.

102103222301201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027806304 (or 1027806293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 102103222301201 in words is "one hundred two trillion, one hundred three billion, two hundred twenty-two million, three hundred one thousand, two hundred one".