10102100101 has 16 divisors (see below), whose sum is σ = 10703721600. Its totient is φ = 9507682368.

The previous prime is 10102100087. The next prime is 10102100119. The reversal of 10102100101 is 10100120101.

It is a cyclic number.

It is not a de Polignac number, because 10102100101 - 2⁵ = 10102100069 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 (10102103101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941235 + ... + 1946431.

It is an arithmetic number, because the mean of its divisors is an integer number (668982600).

Almost surely, 2^10102100101 is an apocalyptic number.

It is an amenable number.

10102100101 is a deficient number, since it is larger than the sum of its proper divisors (601621499).

10102100101 is a wasteful number, since it uses less digits than its factorization.

10102100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868.

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

Adding to 10102100101 its reverse (10100120101), we get a palindrome (20202220202).

The spelling of 10102100101 in words is "ten billion, one hundred two million, one hundred thousand, one hundred one".