11012201001011 has 64 divisors (see below), whose sum is σ = 13758046848000. Its totient is φ = 8784508320000.

The previous prime is 11012201000959. The next prime is 11012201001017. The reversal of 11012201001011 is 11010010221011.

It is not a de Polignac number, because 11012201001011 - 2³⁸ = 10737323094067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11012201000983 and 11012201001001.

It is not an unprimeable number, because it can be changed into a prime (11012201001017) 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 63 ways as a sum of consecutive naturals, for example, 119364881 + ... + 119457101.

It is an arithmetic number, because the mean of its divisors is an integer number (214969482000).

Almost surely, 2^{11012201001011} is an apocalyptic number.

11012201001011 is a deficient number, since it is larger than the sum of its proper divisors (2745845846989).

11012201001011 is an equidigital number, since it uses as much as digits as its factorization.

11012201001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92585 (or 92571 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11012201001011 its reverse (11010010221011), we get a palindrome (22022211222022).

The spelling of 11012201001011 in words is "eleven trillion, twelve billion, two hundred one million, one thousand, eleven".