101101112101 has 12 divisors (see below), whose sum is σ = 111478271436. Its totient is φ = 91620129920.

The previous prime is 101101112053. The next prime is 101101112113. The reversal of 101101112101 is 101211101101.

It can be written as a sum of positive squares in 2 ways, for example, as 50577761025 + 50523351076 = 224895^2 + 224774^2 .

It is not a de Polignac number, because 101101112101 - 2³⁵ = 66741373733 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 (101101112701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1279540 + ... + 1356253.

It is an arithmetic number, because the mean of its divisors is an integer number (9289855953).

Almost surely, 2^101101112101 is an apocalyptic number.

101101112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101112101 is a deficient number, since it is larger than the sum of its proper divisors (10377159335).

101101112101 is a wasteful number, since it uses less digits than its factorization.

101101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636132 (or 2636121 counting only the distinct ones).

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

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

It can be divided in two parts, 10110 and 1112101, that added together give a palindrome (1122211).

The spelling of 101101112101 in words is "one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred one".