101102100101 has 8 divisors (see below), whose sum is σ = 102501129600. Its totient is φ = 99706052160.

The previous prime is 101102100083. The next prime is 101102100131. The reversal of 101102100101 is 101001201101.

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 a de Polignac number, because none of the positive numbers 2^k-101102100101 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 (101102100131) 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 7 ways as a sum of consecutive naturals, for example, 677060 + ... + 812781.

It is an arithmetic number, because the mean of its divisors is an integer number (12812641200).

Almost surely, 2^101102100101 is an apocalyptic number.

It is an amenable number.

101102100101 is a deficient number, since it is larger than the sum of its proper divisors (1399029499).

101102100101 is an equidigital number, since it uses as much as digits as its factorization.

101102100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490779.

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

Adding to 101102100101 its reverse (101001201101), we get a palindrome (202103301202).

The spelling of 101102100101 in words is "one hundred one billion, one hundred two million, one hundred thousand, one hundred one".