100211121111041 has 2 divisors, whose sum is σ = 100211121111042. Its totient is φ = 100211121111040.

The previous prime is 100211121110959. The next prime is 100211121111119. The reversal of 100211121111041 is 140111121112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96938202318400 + 3272918792641 = 9845720^2 + 1809121^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211121111041 - 2³⁰ = 100210047369217 is a prime.

It is not a weakly prime, because it can be changed into another prime (100211121113041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105560555520 + 50105560555521.

It is an arithmetic number, because the mean of its divisors is an integer number (50105560555521).

Almost surely, 2^{100211121111041} is an apocalyptic number.

It is an amenable number.

100211121111041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211121111041 is an equidigital number, since it uses as much as digits as its factorization.

100211121111041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 100211121111041 its reverse (140111121112001), we get a palindrome (240322242223042).

The spelling of 100211121111041 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, forty-one".