101011100118001 has 2 divisors, whose sum is σ = 101011100118002. Its totient is φ = 101011100118000.

The previous prime is 101011100117987. The next prime is 101011100118011. The reversal of 101011100118001 is 100811001110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100382845727376 + 628254390625 = 10019124^2 + 792625^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011100118001 - 2²¹ = 101011098020849 is a prime.

It is a super-2 number, since 2×101011100118001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011100118011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505550059000 + 50505550059001.

It is an arithmetic number, because the mean of its divisors is an integer number (50505550059001).

Almost surely, 2^{101011100118001} is an apocalyptic number.

It is an amenable number.

101011100118001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011100118001 is an equidigital number, since it uses as much as digits as its factorization.

101011100118001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101011100118001 its reverse (100811001110101), we get a palindrome (201822101228102).

The spelling of 101011100118001 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred eighteen thousand, one".