100211122022111 has 16 divisors (see below), whose sum is σ = 102029564564928. Its totient is φ = 98398357900800.

The previous prime is 100211122022093. The next prime is 100211122022149. The reversal of 100211122022111 is 111220221112001.

It is a cyclic number.

It is not a de Polignac number, because 100211122022111 - 2³⁸ = 99936244115167 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100211122022111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211122022191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900539230 + ... + 1900591956.

It is an arithmetic number, because the mean of its divisors is an integer number (6376847785308).

Almost surely, 2^{100211122022111} is an apocalyptic number.

100211122022111 is a deficient number, since it is larger than the sum of its proper divisors (1818442542817).

100211122022111 is an equidigital number, since it uses as much as digits as its factorization.

100211122022111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105922.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100211122022111 its reverse (111220221112001), we get a palindrome (211431343134112).

The spelling of 100211122022111 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred eleven".