11200101001011 has 32 divisors (see below), whose sum is σ = 17910375398720. Its totient is φ = 6876452040192.

The previous prime is 11200101000989. The next prime is 11200101001013. The reversal of 11200101001011 is 11010010100211.

It is not a de Polignac number, because 11200101001011 - 2⁹ = 11200101000499 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11200101000984 and 11200101001002.

It is not an unprimeable number, because it can be changed into a prime (11200101001013) 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 31 ways as a sum of consecutive naturals, for example, 36694576 + ... + 36998541.

It is an arithmetic number, because the mean of its divisors is an integer number (559699231210).

Almost surely, 2^{11200101001011} is an apocalyptic number.

11200101001011 is a deficient number, since it is larger than the sum of its proper divisors (6710274397709).

11200101001011 is a wasteful number, since it uses less digits than its factorization.

11200101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73693572 (or 73693566 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11200101001011 its reverse (11010010100211), we get a palindrome (22210111101222).

The spelling of 11200101001011 in words is "eleven trillion, two hundred billion, one hundred one million, one thousand, eleven".