101011109999981 has 2 divisors, whose sum is σ = 101011109999982. Its totient is φ = 101011109999980.

The previous prime is 101011109999929. The next prime is 101011110000007. The reversal of 101011109999981 is 189999901110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100380461190025 + 630648809956 = 10019005^2 + 794134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011109999981 is a prime.

It is a super-2 number, since 2×101011109999981² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011109999981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011109996981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505554999990 + 50505554999991.

It is an arithmetic number, because the mean of its divisors is an integer number (50505554999991).

Almost surely, 2^{101011109999981} is an apocalyptic number.

It is an amenable number.

101011109999981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011109999981 is an equidigital number, since it uses as much as digits as its factorization.

101011109999981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 472392, while the sum is 59.

The spelling of 101011109999981 in words is "one hundred one trillion, eleven billion, one hundred nine million, nine hundred ninety-nine thousand, nine hundred eighty-one".