100111000010981 has 2 divisors, whose sum is σ = 100111000010982. Its totient is φ = 100111000010980.

The previous prime is 100111000010933. The next prime is 100111000011097. The reversal of 100111000010981 is 189010000111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94466075441956 + 5644924569025 = 9719366^2 + 2375905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111000010981 is a prime.

It is a super-2 number, since 2×100111000010981² (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 (100111000015981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500005490 + 50055500005491.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500005491).

Almost surely, 2^{100111000010981} is an apocalyptic number.

It is an amenable number.

100111000010981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000010981 is an equidigital number, since it uses as much as digits as its factorization.

100111000010981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

Adding to 100111000010981 its reverse (189010000111001), we get a palindrome (289121000121982).

The spelling of 100111000010981 in words is "one hundred trillion, one hundred eleven billion, ten thousand, nine hundred eighty-one".