10101131101 has 32 divisors (see below), whose sum is σ = 11090534400. Its totient is φ = 9168344640.

The previous prime is 10101131071. The next prime is 10101131141. The reversal of 10101131101 is 10113110101.

It is a cyclic number.

It is not a de Polignac number, because 10101131101 - 2²⁵ = 10067576669 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 (10101131141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9241111 + ... + 9242203.

It is an arithmetic number, because the mean of its divisors is an integer number (346579200).

Almost surely, 2^10101131101 is an apocalyptic number.

It is an amenable number.

10101131101 is a deficient number, since it is larger than the sum of its proper divisors (989403299).

10101131101 is a wasteful number, since it uses less digits than its factorization.

10101131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10101131101 its reverse (10113110101), we get a palindrome (20214241202).

The spelling of 10101131101 in words is "ten billion, one hundred one million, one hundred thirty-one thousand, one hundred one".