102221343122201 has 8 divisors (see below), whose sum is σ = 104377997806824. Its totient is φ = 100085130662400.

The previous prime is 102221343122159. The next prime is 102221343122219.

102221343122201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1417233106576 + 100804110015625 = 1190476^2 + 10040125^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221343122201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102221343122221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5110546100 + ... + 5110566101.

It is an arithmetic number, because the mean of its divisors is an integer number (13047249725853).

Almost surely, 2^{102221343122201} is an apocalyptic number.

It is an amenable number.

102221343122201 is a deficient number, since it is larger than the sum of its proper divisors (2156654684623).

102221343122201 is a wasteful number, since it uses less digits than its factorization.

102221343122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221112411.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 102221343122201 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred forty-three million, one hundred twenty-two thousand, two hundred one".