101012200200181 has 2 divisors, whose sum is σ = 101012200200182. Its totient is φ = 101012200200180.

The previous prime is 101012200200031. The next prime is 101012200200187. The reversal of 101012200200181 is 181002002210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65595906756900 + 35416293443281 = 8099130^2 + 5951159^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012200200181 - 2³³ = 101003610265589 is a prime.

It is a super-2 number, since 2×101012200200181² (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 (101012200200187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506100100090 + 50506100100091.

It is an arithmetic number, because the mean of its divisors is an integer number (50506100100091).

Almost surely, 2^{101012200200181} is an apocalyptic number.

It is an amenable number.

101012200200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012200200181 is an equidigital number, since it uses as much as digits as its factorization.

101012200200181 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 19.

Adding to 101012200200181 its reverse (181002002210101), we get a palindrome (282014202410282).

The spelling of 101012200200181 in words is "one hundred one trillion, twelve billion, two hundred million, two hundred thousand, one hundred eighty-one".