10010001011011 has 24 divisors (see below), whose sum is σ = 10773017679600. Its totient is φ = 9298336998912.

The previous prime is 10010001010991. The next prime is 10010001011039. The reversal of 10010001011011 is 11011010001001.

It is a happy number.

It is not a de Polignac number, because 10010001011011 - 2¹⁷ = 10010000879939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010001010985 and 10010001011003.

It is not an unprimeable number, because it can be changed into a prime (10010001011081) 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, 6020256 + ... + 7500898.

It is an arithmetic number, because the mean of its divisors is an integer number (448875736650).

Almost surely, 2^{10010001011011} is an apocalyptic number.

10010001011011 is a deficient number, since it is larger than the sum of its proper divisors (763016668589).

10010001011011 is a wasteful number, since it uses less digits than its factorization.

10010001011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480983 (or 1480966 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010001011011 its reverse (11011010001001), we get a palindrome (21021011012012).

The spelling of 10010001011011 in words is "ten trillion, ten billion, one million, eleven thousand, eleven".