102001022000221 has 8 divisors (see below), whose sum is σ = 104179512228480. Its totient is φ = 99822875760288.

The previous prime is 102001022000161. The next prime is 102001022000243. The reversal of 102001022000221 is 122000220100201.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 102001022000221 - 2²⁵ = 102000988445789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001022000621) 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, 85397656 + ... + 86583841.

It is an arithmetic number, because the mean of its divisors is an integer number (13022439028560).

Almost surely, 2^{102001022000221} is an apocalyptic number.

It is an amenable number.

102001022000221 is a deficient number, since it is larger than the sum of its proper divisors (2178490228259).

102001022000221 is a wasteful number, since it uses less digits than its factorization.

102001022000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171994163.

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

Adding to 102001022000221 its reverse (122000220100201), we get a palindrome (224001242100422).

The spelling of 102001022000221 in words is "one hundred two trillion, one billion, twenty-two million, two hundred twenty-one", and thus it is an aban number.