101144113001 has 2 divisors, whose sum is σ = 101144113002. Its totient is φ = 101144113000.

The previous prime is 101144112991. The next prime is 101144113027. The reversal of 101144113001 is 100311441101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74692343401 + 26451769600 = 273299^2 + 162640^2 .

It is a cyclic number.

It is not a de Polignac number, because 101144113001 - 2²² = 101139918697 is a prime.

It is not a weakly prime, because it can be changed into another prime (101144113051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50572056500 + 50572056501.

It is an arithmetic number, because the mean of its divisors is an integer number (50572056501).

Almost surely, 2^101144113001 is an apocalyptic number.

It is an amenable number.

101144113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101144113001 is an equidigital number, since it uses as much as digits as its factorization.

101144113001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101144113001 its reverse (100311441101), we get a palindrome (201455554102).

The spelling of 101144113001 in words is "one hundred one billion, one hundred forty-four million, one hundred thirteen thousand, one".