22101120100111 has 32 divisors (see below), whose sum is σ = 24773666904000. Its totient is φ = 19576253104128.

The previous prime is 22101120100099. The next prime is 22101120100121. The reversal of 22101120100111 is 11100102110122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22101120100111 - 2⁷ = 22101120099983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 22101120100091 and 22101120100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101120100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175316260 + ... + 175442278.

It is an arithmetic number, because the mean of its divisors is an integer number (774177090750).

Almost surely, 2^{22101120100111} is an apocalyptic number.

22101120100111 is a deficient number, since it is larger than the sum of its proper divisors (2672546803889).

22101120100111 is a wasteful number, since it uses less digits than its factorization.

22101120100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128923.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 22101120100111 its reverse (11100102110122), we get a palindrome (33201222210233).

The spelling of 22101120100111 in words is "twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred thousand, one hundred eleven".