100210101112181 has 2 divisors, whose sum is σ = 100210101112182. Its totient is φ = 100210101112180.

The previous prime is 100210101112073. The next prime is 100210101112237. The reversal of 100210101112181 is 181211101012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88723871842225 + 11486229269956 = 9419335^2 + 3389134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210101112181 is a prime.

It is a super-2 number, since 2×100210101112181² (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 (100210101115181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105050556090 + 50105050556091.

It is an arithmetic number, because the mean of its divisors is an integer number (50105050556091).

Almost surely, 2^{100210101112181} is an apocalyptic number.

It is an amenable number.

100210101112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210101112181 is an equidigital number, since it uses as much as digits as its factorization.

100210101112181 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 100210101112181 its reverse (181211101012001), we get a palindrome (281421202124182).

The spelling of 100210101112181 in words is "one hundred trillion, two hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred eighty-one".