10021112101181 has 2 divisors, whose sum is σ = 10021112101182. Its totient is φ = 10021112101180.

The previous prime is 10021112101069. The next prime is 10021112101207. The reversal of 10021112101181 is 18110121112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8785835456281 + 1235276644900 = 2964091^2 + 1111430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021112101181 is a prime.

It is a super-2 number, since 2×10021112101181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021111101181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010556050590 + 5010556050591.

It is an arithmetic number, because the mean of its divisors is an integer number (5010556050591).

Almost surely, 2^{10021112101181} is an apocalyptic number.

It is an amenable number.

10021112101181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021112101181 is an equidigital number, since it uses as much as digits as its factorization.

10021112101181 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 10021112101181 its reverse (18110121112001), we get a palindrome (28131233213182).

The spelling of 10021112101181 in words is "ten trillion, twenty-one billion, one hundred twelve million, one hundred one thousand, one hundred eighty-one".