10001120101011 has 40 divisors (see below), whose sum is σ = 16092648962544. Its totient is φ = 6153205176000.

The previous prime is 10001120100989. The next prime is 10001120101039. The reversal of 10001120101011 is 11010102110001.

It is not a de Polignac number, because 10001120101011 - 2¹⁰ = 10001120099987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001120100984 and 10001120101002.

It is not an unprimeable number, because it can be changed into a prime (10001120101711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3858636 + ... + 5906886.

Almost surely, 2^{10001120101011} is an apocalyptic number.

10001120101011 is a deficient number, since it is larger than the sum of its proper divisors (6091528861533).

10001120101011 is a wasteful number, since it uses less digits than its factorization.

10001120101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052913 (or 2052904 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001120101011 its reverse (11010102110001), we get a palindrome (21011222211012).

The spelling of 10001120101011 in words is "ten trillion, one billion, one hundred twenty million, one hundred one thousand, eleven".