10000010011011 has 128 divisors (see below), whose sum is σ = 15056324444160. Its totient is φ = 5874612480000.

The previous prime is 10000010011003. The next prime is 10000010011031. The reversal of 10000010011011 is 11011001000001.

It is not a de Polignac number, because 10000010011011 - 2³ = 10000010011003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000010011001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1979805436 + ... + 1979810486.

It is an arithmetic number, because the mean of its divisors is an integer number (117627534720).

Almost surely, 2^{10000010011011} is an apocalyptic number.

10000010011011 is a deficient number, since it is larger than the sum of its proper divisors (5056314433149).

10000010011011 is a wasteful number, since it uses less digits than its factorization.

10000010011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10000010011011 its reverse (11011001000001), we get a palindrome (21011011011012).

The spelling of 10000010011011 in words is "ten trillion, ten million, eleven thousand, eleven".