102100110101 has 8 divisors (see below), whose sum is σ = 111815334144. Its totient is φ = 92457118720.

The previous prime is 102100110041. The next prime is 102100110113. The reversal of 102100110101 is 101011001201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100110101 - 2¹⁰ = 102100109077 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 (102100110401) 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, 18055205 + ... + 18060858.

It is an arithmetic number, because the mean of its divisors is an integer number (13976916768).

Almost surely, 2^102100110101 is an apocalyptic number.

102100110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100110101 is a deficient number, since it is larger than the sum of its proper divisors (9715224043).

102100110101 is a wasteful number, since it uses less digits than its factorization.

102100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36116331.

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

Adding to 102100110101 its reverse (101011001201), we get a palindrome (203111111302).

The spelling of 102100110101 in words is "one hundred two billion, one hundred million, one hundred ten thousand, one hundred one".