101130180870181 has 2 divisors, whose sum is σ = 101130180870182. Its totient is φ = 101130180870180.

The previous prime is 101130180870179. The next prime is 101130180870211. The reversal of 101130180870181 is 181078081031101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66719638267681 + 34410542602500 = 8168209^2 + 5866050^2 .

It is a cyclic number.

It is not a de Polignac number, because 101130180870181 - 2¹ = 101130180870179 is a prime.

It is a super-2 number, since 2×101130180870181² (a number of 29 digits) contains 22 as substring.

Together with 101130180870179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101130180870101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565090435090 + 50565090435091.

It is an arithmetic number, because the mean of its divisors is an integer number (50565090435091).

Almost surely, 2^{101130180870181} is an apocalyptic number.

It is an amenable number.

101130180870181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101130180870181 is an equidigital number, since it uses as much as digits as its factorization.

101130180870181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 40.

The spelling of 101130180870181 in words is "one hundred one trillion, one hundred thirty billion, one hundred eighty million, eight hundred seventy thousand, one hundred eighty-one".