102221101000001 has 8 divisors (see below), whose sum is σ = 102542668956000. Its totient is φ = 101899950396160.

The previous prime is 102221100999959. The next prime is 102221101000003. The reversal of 102221101000001 is 100000101122201.

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-102221101000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221101000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103847411 + ... + 104827128.

It is an arithmetic number, because the mean of its divisors is an integer number (12817833619500).

Almost surely, 2^{102221101000001} is an apocalyptic number.

It is an amenable number.

102221101000001 is a deficient number, since it is larger than the sum of its proper divisors (321567955999).

102221101000001 is a wasteful number, since it uses less digits than its factorization.

102221101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208676079.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102221101000001 its reverse (100000101122201), we get a palindrome (202221202122202).

The spelling of 102221101000001 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred one million, one", and thus it is an aban number.