102101222200001 has 32 divisors (see below), whose sum is σ = 106568895932928. Its totient is φ = 97733079924480.

The previous prime is 102101222199997. The next prime is 102101222200027. The reversal of 102101222200001 is 100002222101201.

It is a cyclic number.

It is not a de Polignac number, because 102101222200001 - 2² = 102101222199997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101222208001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8003538515 + ... + 8003551271.

It is an arithmetic number, because the mean of its divisors is an integer number (3330277997904).

Almost surely, 2^{102101222200001} is an apocalyptic number.

It is an amenable number.

102101222200001 is a deficient number, since it is larger than the sum of its proper divisors (4467673732927).

102101222200001 is a wasteful number, since it uses less digits than its factorization.

102101222200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16601.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102101222200001 its reverse (100002222101201), we get a palindrome (202103444301202).

The spelling of 102101222200001 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, two hundred thousand, one".