10100181101 has 6 divisors (see below), whose sum is σ = 10659748302. Its totient is φ = 9568592280.

The previous prime is 10100181097. The next prime is 10100181131. The reversal of 10100181101 is 10118100101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9705205225 + 394975876 = 98515^2 + 19874^2 .

It is not a de Polignac number, because 10100181101 - 2² = 10100181097 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 (10100181131) 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, 13988810 + ... + 13989531.

It is an arithmetic number, because the mean of its divisors is an integer number (1776624717).

Almost surely, 2^10100181101 is an apocalyptic number.

It is an amenable number.

10100181101 is a deficient number, since it is larger than the sum of its proper divisors (559567201).

10100181101 is an equidigital number, since it uses as much as digits as its factorization.

10100181101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27978379 (or 27978360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10100181101 its reverse (10118100101), we get a palindrome (20218281202).

The spelling of 10100181101 in words is "ten billion, one hundred million, one hundred eighty-one thousand, one hundred one".