100141101 has 18 divisors (see below), whose sum is σ = 153661482. Its totient is φ = 62832000.

The previous prime is 100141091. The next prime is 100141117. The reversal of 100141101 is 101141001.

It can be written as a sum of positive squares in 3 ways, for example, as 54375876 + 45765225 = 7374^2 + 6765^2 .

It is not a de Polignac number, because 100141101 - 2¹³ = 100132909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100141801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16650 + ... + 21851.

It is an arithmetic number, because the mean of its divisors is an integer number (8536749).

Almost surely, 2^100141101 is an apocalyptic number.

It is an amenable number.

100141101 is a deficient number, since it is larger than the sum of its proper divisors (53520381).

100141101 is a wasteful number, since it uses less digits than its factorization.

100141101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38541 (or 38521 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100141101 is about 10007.0525630677. The cubic root of 100141101 is about 464.3770917041.

Adding to 100141101 its reverse (101141001), we get a palindrome (201282102).

The spelling of 100141101 in words is "one hundred million, one hundred forty-one thousand, one hundred one".