10001121011011 has 24 divisors (see below), whose sum is σ = 11155377025520. Its totient is φ = 8912876321664.

The previous prime is 10001121010967. The next prime is 10001121011041. The reversal of 10001121011011 is 11011012110001.

It is not a de Polignac number, because 10001121011011 - 2⁹ = 10001121010499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001121011041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321884785 + ... + 321915853.

Almost surely, 2^{10001121011011} is an apocalyptic number.

10001121011011 is a deficient number, since it is larger than the sum of its proper divisors (1154256014509).

10001121011011 is a wasteful number, since it uses less digits than its factorization.

10001121011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60583 (or 60554 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10001121011011 its reverse (11011012110001), we get a palindrome (21012133121012).

The spelling of 10001121011011 in words is "ten trillion, one billion, one hundred twenty-one million, eleven thousand, eleven".