10211012110181 has 2 divisors, whose sum is σ = 10211012110182. Its totient is φ = 10211012110180.

The previous prime is 10211012110129. The next prime is 10211012110241. The reversal of 10211012110181 is 18101121011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6194294679556 + 4016717430625 = 2488834^2 + 2004175^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211012110181 - 2²⁶ = 10210945001317 is a prime.

It is a super-2 number, since 2×10211012110181² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211012110121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105506055090 + 5105506055091.

It is an arithmetic number, because the mean of its divisors is an integer number (5105506055091).

Almost surely, 2^{10211012110181} is an apocalyptic number.

It is an amenable number.

10211012110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211012110181 is an equidigital number, since it uses as much as digits as its factorization.

10211012110181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 10211012110181 its reverse (18101121011201), we get a palindrome (28312133121382).

The spelling of 10211012110181 in words is "ten trillion, two hundred eleven billion, twelve million, one hundred ten thousand, one hundred eighty-one".