101113101 has 6 divisors (see below), whose sum is σ = 146052270. Its totient is φ = 67408728.

The previous prime is 101113097. The next prime is 101113123. The reversal of 101113101 is 101311101.

It can be written as a sum of positive squares in only one way, i.e., 95942025 + 5171076 = 9795^2 + 2274^2 .

It is not a de Polignac number, because 101113101 - 2² = 101113097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11234789 = 101113101 / (1 + 0 + 1 + 1 + 1 + 3 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617386 + ... + 5617403.

It is an arithmetic number, because the mean of its divisors is an integer number (24342045).

Almost surely, 2^101113101 is an apocalyptic number.

It is an amenable number.

101113101 is a deficient number, since it is larger than the sum of its proper divisors (44939169).

101113101 is a wasteful number, since it uses less digits than its factorization.

101113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234795 (or 11234792 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 101113101 is about 10055.5010317736. The cubic root of 101113101 is about 465.8747184201.

Adding to 101113101 its reverse (101311101), we get a palindrome (202424202).

It can be divided in two parts, 10 and 1113101, that added together give a palindrome (1113111).

The spelling of 101113101 in words is "one hundred one million, one hundred thirteen thousand, one hundred one".