101211101101 has 48 divisors (see below), whose sum is σ = 119761286400. Its totient is φ = 85299294080.

The previous prime is 101211101059. The next prime is 101211101107. The reversal of 101211101101 is 101101112101.

It is not a de Polignac number, because 101211101101 - 2³³ = 92621166509 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 (101211101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8735130 + ... + 8746708.

It is an arithmetic number, because the mean of its divisors is an integer number (2495026800).

Almost surely, 2^101211101101 is an apocalyptic number.

101211101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211101101 is a deficient number, since it is larger than the sum of its proper divisors (18550185299).

101211101101 is a wasteful number, since it uses less digits than its factorization.

101211101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730 (or 11719 counting only the distinct ones).

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

Adding to 101211101101 its reverse (101101112101), we get a palindrome (202312213202).

The spelling of 101211101101 in words is "one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred one".