101100909101 has 16 divisors (see below), whose sum is σ = 106721072640. Its totient is φ = 95511023280.

The previous prime is 101100908971. The next prime is 101100909113. The reversal of 101100909101 is 101909001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100909101 - 2²⁶ = 101033800237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100909121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11666096 + ... + 11674758.

It is an arithmetic number, because the mean of its divisors is an integer number (6670067040).

Almost surely, 2^101100909101 is an apocalyptic number.

It is an amenable number.

101100909101 is a deficient number, since it is larger than the sum of its proper divisors (5620163539).

101100909101 is a wasteful number, since it uses less digits than its factorization.

101100909101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 101100909101 in words is "one hundred one billion, one hundred million, nine hundred nine thousand, one hundred one".