101000010010181 has 2 divisors, whose sum is σ = 101000010010182. Its totient is φ = 101000010010180.

The previous prime is 101000010010099. The next prime is 101000010010183. The reversal of 101000010010181 is 181010010000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58175629017025 + 42824380993156 = 7627295^2 + 6544034^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000010010181 - 2¹⁸ = 101000009748037 is a prime.

It is a super-2 number, since 2×101000010010181² (a number of 29 digits) contains 22 as substring.

Together with 101000010010183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000010010183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005005090 + 50500005005091.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005005091).

Almost surely, 2^{101000010010181} is an apocalyptic number.

It is an amenable number.

101000010010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000010010181 is an equidigital number, since it uses as much as digits as its factorization.

101000010010181 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 14.

Adding to 101000010010181 its reverse (181010010000101), we get a palindrome (282010020010282).

The spelling of 101000010010181 in words is "one hundred one trillion, ten million, ten thousand, one hundred eighty-one".