101100100010101 has 8 divisors (see below), whose sum is σ = 102103569346784. Its totient is φ = 100101181555440.

The previous prime is 101100100010057. The next prime is 101100100010159. The reversal of 101100100010101 is 101010001001101.

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 101100100010101 - 2⁹ = 101100100009589 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 (101100100010171) 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, 1137675855 + ... + 1137764716.

It is an arithmetic number, because the mean of its divisors is an integer number (12762946168348).

Almost surely, 2^{101100100010101} is an apocalyptic number.

It is an amenable number.

101100100010101 is a deficient number, since it is larger than the sum of its proper divisors (1003469336683).

101100100010101 is a wasteful number, since it uses less digits than its factorization.

101100100010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275441011.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100100010101 its reverse (101010001001101), we get a palindrome (202110101011202).

The spelling of 101100100010101 in words is "one hundred one trillion, one hundred billion, one hundred million, ten thousand, one hundred one".