101011100100101 has 24 divisors (see below), whose sum is σ = 114635766715680. Its totient is φ = 88721361476352.

The previous prime is 101011100100059. The next prime is 101011100100103. The reversal of 101011100100101 is 101001001110101.

It is a de Polignac number, because none of the positive numbers 2^k-101011100100101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011100100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136913870 + ... + 137649663.

It is an arithmetic number, because the mean of its divisors is an integer number (4776490279820).

Almost surely, 2^{101011100100101} is an apocalyptic number.

It is an amenable number.

101011100100101 is a deficient number, since it is larger than the sum of its proper divisors (13624666615579).

101011100100101 is a wasteful number, since it uses less digits than its factorization.

101011100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274563653 (or 274563636 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011100100101 its reverse (101001001110101), we get a palindrome (202012101210202).

The spelling of 101011100100101 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred thousand, one hundred one".