1100022010191 has 32 divisors (see below), whose sum is σ = 1756543651520. Its totient is φ = 676349263872.

The previous prime is 1100022010057. The next prime is 1100022010223. The reversal of 1100022010191 is 1910102200011.

It is a happy number.

It is not a de Polignac number, because 1100022010191 - 2¹⁰ = 1100022009167 is a prime.

It is a super-4 number, since 4×1100022010191⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100022110191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954346 + ... + 1763751.

It is an arithmetic number, because the mean of its divisors is an integer number (54891989110).

Almost surely, 2^{1100022010191} is an apocalyptic number.

1100022010191 is a deficient number, since it is larger than the sum of its proper divisors (656521641329).

1100022010191 is a wasteful number, since it uses less digits than its factorization.

1100022010191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719272 (or 2719266 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1100022010191 in words is "one trillion, one hundred billion, twenty-two million, ten thousand, one hundred ninety-one".