102110220001 has 16 divisors (see below), whose sum is σ = 107860165200. Its totient is φ = 96528595968.

The previous prime is 102110219969. The next prime is 102110220007. The reversal of 102110220001 is 100022011201.

It can be written as a sum of positive squares in 8 ways, for example, as 13794267601 + 88315952400 = 117449^2 + 297180^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110220001 - 2⁵ = 102110219969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102110220001.

It is not an unprimeable number, because it can be changed into a prime (102110220007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113995 + ... + 466063.

It is an arithmetic number, because the mean of its divisors is an integer number (6741260325).

Almost surely, 2^102110220001 is an apocalyptic number.

It is an amenable number.

102110220001 is a deficient number, since it is larger than the sum of its proper divisors (5749945199).

102110220001 is a wasteful number, since it uses less digits than its factorization.

102110220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352308.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102110220001 its reverse (100022011201), we get a palindrome (202132231202).

The spelling of 102110220001 in words is "one hundred two billion, one hundred ten million, two hundred twenty thousand, one".