100101001121 has 12 divisors (see below), whose sum is σ = 111117776532. Its totient is φ = 90099900000.

The previous prime is 100101001103. The next prime is 100101001123. The reversal of 100101001121 is 121100101001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51947526400 + 48153474721 = 227920^2 + 219439^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100101001121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101001099 and 100101001108.

It is not an unprimeable number, because it can be changed into a prime (100101001123) 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, 4083230 + ... + 4107671.

It is an arithmetic number, because the mean of its divisors is an integer number (9259814711).

Almost surely, 2^100101001121 is an apocalyptic number.

100101001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101001121 is a deficient number, since it is larger than the sum of its proper divisors (11016775411).

100101001121 is a wasteful number, since it uses less digits than its factorization.

100101001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191024 (or 8191013 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101001121 its reverse (121100101001), we get a palindrome (221201102122).

It can be divided in two parts, 100101001 and 121, that multiplied together give a palindrome (12112221121).

The spelling of 100101001121 in words is "one hundred billion, one hundred one million, one thousand, one hundred twenty-one".