10100110019981 has 2 divisors, whose sum is σ = 10100110019982. Its totient is φ = 10100110019980.

The previous prime is 10100110019971. The next prime is 10100110020029. The reversal of 10100110019981 is 18991001100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7453173002500 + 2646937017481 = 2730050^2 + 1626941^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100110019981 - 2³⁰ = 10099036278157 is a prime.

It is a super-2 number, since 2×10100110019981² (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 (10100110019971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055009990 + 5050055009991.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055009991).

Almost surely, 2^{10100110019981} is an apocalyptic number.

It is an amenable number.

10100110019981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110019981 is an equidigital number, since it uses as much as digits as its factorization.

10100110019981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 10100110019981 in words is "ten trillion, one hundred billion, one hundred ten million, nineteen thousand, nine hundred eighty-one".