1100021200011 has 24 divisors (see below), whose sum is σ = 1631950645104. Its totient is φ = 713489065920.

The previous prime is 1100021199983. The next prime is 1100021200013.

It is a happy number.

1100021200011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100021200011 - 2¹⁵ = 1100021167243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100021199966 and 1100021200002.

It is not an unprimeable number, because it can be changed into a prime (1100021200013) 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 23 ways as a sum of consecutive naturals, for example, 6990781 + ... + 7146401.

It is an arithmetic number, because the mean of its divisors is an integer number (67997943546).

Almost surely, 2^{1100021200011} is an apocalyptic number.

1100021200011 is a deficient number, since it is larger than the sum of its proper divisors (531929445093).

1100021200011 is a wasteful number, since it uses less digits than its factorization.

1100021200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176891 (or 176888 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 1100021200011 in words is "one trillion, one hundred billion, twenty-one million, two hundred thousand, eleven".