101011100003101 has 2 divisors, whose sum is σ = 101011100003102. Its totient is φ = 101011100003100.

The previous prime is 101011100003083. The next prime is 101011100003137. The reversal of 101011100003101 is 101300001110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81217045202500 + 19794054800601 = 9012050^2 + 4449051^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011100003101 - 2¹⁹ = 101011099478813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011100003161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505550001550 + 50505550001551.

It is an arithmetic number, because the mean of its divisors is an integer number (50505550001551).

Almost surely, 2^{101011100003101} is an apocalyptic number.

It is an amenable number.

101011100003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011100003101 is an equidigital number, since it uses as much as digits as its factorization.

101011100003101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101011100003101 its reverse (101300001110101), we get a palindrome (202311101113202).

The spelling of 101011100003101 in words is "one hundred one trillion, eleven billion, one hundred million, three thousand, one hundred one".