100130013101 has 2 divisors, whose sum is σ = 100130013102. Its totient is φ = 100130013100.

The previous prime is 100130013077. The next prime is 100130013133. The reversal of 100130013101 is 101310031001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87775912900 + 12354100201 = 296270^2 + 111149^2 .

It is a cyclic number.

It is not a de Polignac number, because 100130013101 - 2²² = 100125818797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100130013161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065006550 + 50065006551.

It is an arithmetic number, because the mean of its divisors is an integer number (50065006551).

Almost surely, 2^100130013101 is an apocalyptic number.

It is an amenable number.

100130013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100130013101 is an equidigital number, since it uses as much as digits as its factorization.

100130013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100130013101 its reverse (101310031001), we get a palindrome (201440044102).

The spelling of 100130013101 in words is "one hundred billion, one hundred thirty million, thirteen thousand, one hundred one".