102102100101 has 8 divisors (see below), whose sum is σ = 151262370560. Its totient is φ = 68068066716.

The previous prime is 102102100069. The next prime is 102102100129. The reversal of 102102100101 is 101001201201.

It is a happy number.

It is not a de Polignac number, because 102102100101 - 2⁵ = 102102100069 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102100141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890779605 + ... + 1890779658.

It is an arithmetic number, because the mean of its divisors is an integer number (18907796320).

Almost surely, 2^102102100101 is an apocalyptic number.

It is an amenable number.

102102100101 is a deficient number, since it is larger than the sum of its proper divisors (49160270459).

102102100101 is an equidigital number, since it uses as much as digits as its factorization.

102102100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781559272 (or 3781559266 counting only the distinct ones).

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

Adding to 102102100101 its reverse (101001201201), we get a palindrome (203103301302).

The spelling of 102102100101 in words is "one hundred two billion, one hundred two million, one hundred thousand, one hundred one".