102100011100101 has 24 divisors (see below), whose sum is σ = 168552514694720. Its totient is φ = 58340625731136.

The previous prime is 102100011100097. The next prime is 102100011100127. The reversal of 102100011100101 is 101001110001201.

It is not a de Polignac number, because 102100011100101 - 2² = 102100011100097 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 (102100011108101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29423656 + ... + 32710113.

Almost surely, 2^{102100011100101} is an apocalyptic number.

It is an amenable number.

102100011100101 is a deficient number, since it is larger than the sum of its proper divisors (66452503594619).

102100011100101 is a wasteful number, since it uses less digits than its factorization.

102100011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62159865 (or 62159862 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102100011100101 its reverse (101001110001201), we get a palindrome (203101121101302).

The spelling of 102100011100101 in words is "one hundred two trillion, one hundred billion, eleven million, one hundred thousand, one hundred one".