102101100101 has 16 divisors (see below), whose sum is σ = 137086793088. Its totient is φ = 73439352000.

The previous prime is 102101100091. The next prime is 102101100133. The reversal of 102101100101 is 101001101201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-102101100101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50998550 + ... + 51000551.

It is an arithmetic number, because the mean of its divisors is an integer number (8567924568).

Almost surely, 2^102101100101 is an apocalyptic number.

102101100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101100101 is a deficient number, since it is larger than the sum of its proper divisors (34985692987).

102101100101 is a wasteful number, since it uses less digits than its factorization.

102101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101999132.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102101100101 its reverse (101001101201), we get a palindrome (203102201302).

It can be divided in two parts, 102101100 and 101, that added together give a palindrome (102101201).

The spelling of 102101100101 in words is "one hundred two billion, one hundred one million, one hundred thousand, one hundred one".