1100313223101 has 48 divisors (see below), whose sum is σ = 1634218597440. Its totient is φ = 713001864960.

The previous prime is 1100313223057. The next prime is 1100313223123. The reversal of 1100313223101 is 1013223130011.

1100313223101 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 31 + 322 + 310 + 1 = 666.

It is not a de Polignac number, because 1100313223101 - 2¹⁷ = 1100313092029 is a prime.

It is a super-2 number, since 2×1100313223101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100313223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98579961 + ... + 98591121.

It is an arithmetic number, because the mean of its divisors is an integer number (34046220780).

Almost surely, 2^{1100313223101} is an apocalyptic number.

It is an amenable number.

1100313223101 is a deficient number, since it is larger than the sum of its proper divisors (533905374339).

1100313223101 is a wasteful number, since it uses less digits than its factorization.

1100313223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12426 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1100313223101 its reverse (1013223130011), we get a palindrome (2113536353112).

The spelling of 1100313223101 in words is "one trillion, one hundred billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred one".