102001110201 has 24 divisors (see below), whose sum is σ = 148135542984. Its totient is φ = 67631477760.

The previous prime is 102001110181. The next prime is 102001110203. The reversal of 102001110201 is 102011100201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20805177600 + 81195932601 = 144240^2 + 284949^2 .

It is not a de Polignac number, because 102001110201 - 2⁹ = 102001109689 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102001110203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5950495 + ... + 5967611.

It is an arithmetic number, because the mean of its divisors is an integer number (6172314291).

Almost surely, 2^102001110201 is an apocalyptic number.

It is an amenable number.

102001110201 is a deficient number, since it is larger than the sum of its proper divisors (46134432783).

102001110201 is a wasteful number, since it uses less digits than its factorization.

102001110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20681 (or 20678 counting only the distinct ones).

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

Adding to 102001110201 its reverse (102011100201), we get a palindrome (204012210402).

The spelling of 102001110201 in words is "one hundred two billion, one million, one hundred ten thousand, two hundred one".