100022111211133 has 2 divisors, whose sum is σ = 100022111211134. Its totient is φ = 100022111211132.

The previous prime is 100022111211119. The next prime is 100022111211151. The reversal of 100022111211133 is 331112111220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99645854104729 + 376257106404 = 9982277^2 + 613398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022111211133 is a prime.

It is a super-2 number, since 2×100022111211133² (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 100022111211133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022111211233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011055605566 + 50011055605567.

It is an arithmetic number, because the mean of its divisors is an integer number (50011055605567).

Almost surely, 2^{100022111211133} is an apocalyptic number.

It is an amenable number.

100022111211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022111211133 is an equidigital number, since it uses as much as digits as its factorization.

100022111211133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 100022111211133 its reverse (331112111220001), we get a palindrome (431134222431134).

The spelling of 100022111211133 in words is "one hundred trillion, twenty-two billion, one hundred eleven million, two hundred eleven thousand, one hundred thirty-three".