101013242310181 has 2 divisors, whose sum is σ = 101013242310182. Its totient is φ = 101013242310180.

The previous prime is 101013242310083. The next prime is 101013242310203. The reversal of 101013242310181 is 181013242310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60357749450625 + 40655492859556 = 7769025^2 + 6376166^2 .

It is an emirp because it is prime and its reverse (181013242310101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101013242310181 - 2³⁹ = 100463486496293 is a prime.

It is a super-2 number, since 2×101013242310181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101013242310781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506621155090 + 50506621155091.

It is an arithmetic number, because the mean of its divisors is an integer number (50506621155091).

Almost surely, 2^{101013242310181} is an apocalyptic number.

It is an amenable number.

101013242310181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013242310181 is an equidigital number, since it uses as much as digits as its factorization.

101013242310181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 101013242310181 its reverse (181013242310101), we get a palindrome (282026484620282).

The spelling of 101013242310181 in words is "one hundred one trillion, thirteen billion, two hundred forty-two million, three hundred ten thousand, one hundred eighty-one".