102100112001 has 12 divisors (see below), whose sum is σ = 147492963540. Its totient is φ = 68059807200.

The previous prime is 102100111979. The next prime is 102100112003. The reversal of 102100112001 is 100211001201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91278911376 + 10821200625 = 302124^2 + 104025^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102100112001 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 (102100112003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483786 + ... + 662003.

It is an arithmetic number, because the mean of its divisors is an integer number (12291080295).

Almost surely, 2^102100112001 is an apocalyptic number.

It is an amenable number.

102100112001 is a deficient number, since it is larger than the sum of its proper divisors (45392851539).

102100112001 is a wasteful number, since it uses less digits than its factorization.

102100112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155696 (or 1155693 counting only the distinct ones).

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

Adding to 102100112001 its reverse (100211001201), we get a palindrome (202311113202).

The spelling of 102100112001 in words is "one hundred two billion, one hundred million, one hundred twelve thousand, one".