111002122122201 has 12 divisors (see below), whose sum is σ = 161923887717540. Its totient is φ = 73268727472800.

The previous prime is 111002122122193. The next prime is 111002122122289. The reversal of 111002122122201 is 102221221200111.

111002122122201 is a `hidden beast` number, since 11 + 10 + 0 + 212 + 212 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101244870326601 + 9757251795600 = 10062051^2 + 3123660^2 .

It is not a de Polignac number, because 111002122122201 - 2³ = 111002122122193 is a prime.

It is a super-2 number, since 2×111002122122201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111002122121201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61057271986 + ... + 61057273803.

It is an arithmetic number, because the mean of its divisors is an integer number (13493657309795).

Almost surely, 2^{111002122122201} is an apocalyptic number.

It is an amenable number.

111002122122201 is a deficient number, since it is larger than the sum of its proper divisors (50921765595339).

111002122122201 is a wasteful number, since it uses less digits than its factorization.

111002122122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122114545896 (or 122114545893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111002122122201 its reverse (102221221200111), we get a palindrome (213223343322312).

The spelling of 111002122122201 in words is "one hundred eleven trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".