102110102001 has 12 divisors (see below), whose sum is σ = 147833004228. Its totient is φ = 67916185344.

The previous prime is 102110101999. The next prime is 102110102011. The reversal of 102110102001 is 100201011201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28560662001 + 73549440000 = 168999^2 + 271200^2 .

It is not a de Polignac number, because 102110102001 - 2¹ = 102110101999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102110102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13097220 + ... + 13105013.

It is an arithmetic number, because the mean of its divisors is an integer number (12319417019).

Almost surely, 2^102110102001 is an apocalyptic number.

It is an amenable number.

102110102001 is a deficient number, since it is larger than the sum of its proper divisors (45722902227).

102110102001 is a wasteful number, since it uses less digits than its factorization.

102110102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26202672 (or 26202669 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110102001 its reverse (100201011201), we get a palindrome (202311113202).

The spelling of 102110102001 in words is "one hundred two billion, one hundred ten million, one hundred two thousand, one".