10010101012181 has 2 divisors, whose sum is σ = 10010101012182. Its totient is φ = 10010101012180.

The previous prime is 10010101012169. The next prime is 10010101012211. The reversal of 10010101012181 is 18121010101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6847856819281 + 3162244192900 = 2616841^2 + 1778270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010101012181 is a prime.

It is a super-2 number, since 2×10010101012181² (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 (10010101012781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050506090 + 5005050506091.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050506091).

Almost surely, 2^{10010101012181} is an apocalyptic number.

It is an amenable number.

10010101012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101012181 is an equidigital number, since it uses as much as digits as its factorization.

10010101012181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 10010101012181 its reverse (18121010101001), we get a palindrome (28131111113182).

The spelling of 10010101012181 in words is "ten trillion, ten billion, one hundred one million, twelve thousand, one hundred eighty-one".