100314140101 has 12 divisors (see below), whose sum is σ = 117284315148. Its totient is φ = 85547075712.

The previous prime is 100314140099. The next prime is 100314140239. The reversal of 100314140101 is 101041413001.

It can be written as a sum of positive squares in 2 ways, for example, as 67044744900 + 33269395201 = 258930^2 + 182399^2 .

It is not a de Polignac number, because 100314140101 - 2¹ = 100314140099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314140401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5186356 + ... + 5205661.

It is an arithmetic number, because the mean of its divisors is an integer number (9773692929).

Almost surely, 2^100314140101 is an apocalyptic number.

It is an amenable number.

100314140101 is a deficient number, since it is larger than the sum of its proper divisors (16970175047).

100314140101 is a wasteful number, since it uses less digits than its factorization.

100314140101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392228 (or 10392221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100314140101 its reverse (101041413001), we get a palindrome (201355553102).

The spelling of 100314140101 in words is "one hundred billion, three hundred fourteen million, one hundred forty thousand, one hundred one".