102221121122201 has 8 divisors (see below), whose sum is σ = 105563459140608. Its totient is φ = 98881588260000.

The previous prime is 102221121122179. The next prime is 102221121122207.

102221121122201 is nontrivially palindromic in base 10.

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-102221121122201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221121122207) 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, 701214980 + ... + 701360741.

It is an arithmetic number, because the mean of its divisors is an integer number (13195432392576).

Almost surely, 2^{102221121122201} is an apocalyptic number.

It is an amenable number.

102221121122201 is a deficient number, since it is larger than the sum of its proper divisors (3342338018407).

102221121122201 is a wasteful number, since it uses less digits than its factorization.

102221121122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402578103.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 102221121122201 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred one".