101010121122181 has 2 divisors, whose sum is σ = 101010121122182. Its totient is φ = 101010121122180.

The previous prime is 101010121122101. The next prime is 101010121122203. The reversal of 101010121122181 is 181221121010101.

It is an a-pointer prime, because the next prime (101010121122203) can be obtained adding 101010121122181 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62596974830625 + 38413146291556 = 7911825^2 + 6197834^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010121122181 - 2¹³ = 101010121113989 is a prime.

It is a super-2 number, since 2×101010121122181² (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 (101010121122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505060561090 + 50505060561091.

It is an arithmetic number, because the mean of its divisors is an integer number (50505060561091).

Almost surely, 2^{101010121122181} is an apocalyptic number.

It is an amenable number.

101010121122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010121122181 is an equidigital number, since it uses as much as digits as its factorization.

101010121122181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 101010121122181 its reverse (181221121010101), we get a palindrome (282231242132282).

The spelling of 101010121122181 in words is "one hundred one trillion, ten billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred eighty-one".