100111000001041 has 2 divisors, whose sum is σ = 100111000001042. Its totient is φ = 100111000001040.

The previous prime is 100111000001021. The next prime is 100111000001059. The reversal of 100111000001041 is 140100000111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98726659504641 + 1384340496400 = 9936129^2 + 1176580^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000001041 - 2³⁵ = 100076640262673 is a prime.

It is a super-2 number, since 2×100111000001041² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111000001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500000520 + 50055500000521.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500000521).

Almost surely, 2^{100111000001041} is an apocalyptic number.

It is an amenable number.

100111000001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000001041 is an equidigital number, since it uses as much as digits as its factorization.

100111000001041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111000001041 its reverse (140100000111001), we get a palindrome (240211000112042).

The spelling of 100111000001041 in words is "one hundred trillion, one hundred eleven billion, one thousand, forty-one".