102101101010101 has 8 divisors (see below), whose sum is σ = 107092301492160. Its totient is φ = 97155902376192.

The previous prime is 102101101010087. The next prime is 102101101010179. The reversal of 102101101010101 is 101010101101201.

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 102101101010101 - 2²⁵ = 102101067455669 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 (102101101010401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11500457491 + ... + 11500466368.

It is an arithmetic number, because the mean of its divisors is an integer number (13386537686520).

Almost surely, 2^{102101101010101} is an apocalyptic number.

It is an amenable number.

102101101010101 is a deficient number, since it is larger than the sum of its proper divisors (4991200482059).

102101101010101 is a wasteful number, since it uses less digits than its factorization.

102101101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23000924075.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 102101101010101 its reverse (101010101101201), we get a palindrome (203111202111302).

The spelling of 102101101010101 in words is "one hundred two trillion, one hundred one billion, one hundred one million, ten thousand, one hundred one".