101111000099981 has 2 divisors, whose sum is σ = 101111000099982. Its totient is φ = 101111000099980.

The previous prime is 101111000099957. The next prime is 101111000100017. The reversal of 101111000099981 is 189990000111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69435389184100 + 31675610915881 = 8332790^2 + 5628109^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000099981 - 2¹⁰ = 101111000098957 is a prime.

It is a super-2 number, since 2×101111000099981² (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 (101111000092981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500049990 + 50555500049991.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500049991).

Almost surely, 2^{101111000099981} is an apocalyptic number.

It is an amenable number.

101111000099981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000099981 is an equidigital number, since it uses as much as digits as its factorization.

101111000099981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 41.

The spelling of 101111000099981 in words is "one hundred one trillion, one hundred eleven billion, ninety-nine thousand, nine hundred eighty-one".