11200011000211 has 64 divisors (see below), whose sum is σ = 13737765888000. Its totient is φ = 8998863505920.

The previous prime is 11200011000209. The next prime is 11200011000223.

11200011000211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11200011000211 - 2¹ = 11200011000209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11200011000251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212986720 + ... + 213039298.

It is an arithmetic number, because the mean of its divisors is an integer number (214652592000).

Almost surely, 2^{11200011000211} is an apocalyptic number.

11200011000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11200011000211 is a deficient number, since it is larger than the sum of its proper divisors (2537754887789).

11200011000211 is a wasteful number, since it uses less digits than its factorization.

11200011000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53152.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1120001 and 1000211, that multiplied together give a palindrome (1120237320211).

The spelling of 11200011000211 in words is "eleven trillion, two hundred billion, eleven million, two hundred eleven", and thus it is an aban number.