102210102001 has 12 divisors (see below), whose sum is σ = 119949662052. Its totient is φ = 86833356288.

The previous prime is 102210101977. The next prime is 102210102041. The reversal of 102210102001 is 100201012201.

It can be written as a sum of positive squares in 2 ways, for example, as 14252778225 + 87957323776 = 119385^2 + 296576^2 .

It is not a de Polignac number, because 102210102001 - 2²¹ = 102208004849 is a prime.

It is a super-3 number, since 3×102210102001³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102210102041) 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, 9224200 + ... + 9235273.

It is an arithmetic number, because the mean of its divisors is an integer number (9995805171).

Almost surely, 2^102210102001 is an apocalyptic number.

It is an amenable number.

102210102001 is a deficient number, since it is larger than the sum of its proper divisors (17739560051).

102210102001 is a wasteful number, since it uses less digits than its factorization.

102210102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18459600 (or 18459593 counting only the distinct ones).

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

Adding to 102210102001 its reverse (100201012201), we get a palindrome (202411114202).

The spelling of 102210102001 in words is "one hundred two billion, two hundred ten million, one hundred two thousand, one".