102100100101 has 16 divisors (see below), whose sum is σ = 113194713600. Its totient is φ = 91656191088.

The previous prime is 102100100071. The next prime is 102100100111. The reversal of 102100100101 is 101001001201.

It is a cyclic number.

It is not a de Polignac number, because 102100100101 - 2⁷ = 102100099973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045011 + ... + 1138528.

It is an arithmetic number, because the mean of its divisors is an integer number (7074669600).

Almost surely, 2^102100100101 is an apocalyptic number.

It is an amenable number.

102100100101 is a deficient number, since it is larger than the sum of its proper divisors (11094613499).

102100100101 is a wasteful number, since it uses less digits than its factorization.

102100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183688.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102100100101 its reverse (101001001201), we get a palindrome (203101101302).

The spelling of 102100100101 in words is "one hundred two billion, one hundred million, one hundred thousand, one hundred one".