10011121011 has 6 divisors (see below), whose sum is σ = 14460508140. Its totient is φ = 6674080668.

The previous prime is 10011120991. The next prime is 10011121019. The reversal of 10011121011 is 11012111001.

It is not a de Polignac number, because 10011121011 - 2⁵ = 10011120979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112346779 = 10011121011 / (1 + 0 + 0 + 1 + 1 + 1 + 2 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10011120984 and 10011121002.

It is not an unprimeable number, because it can be changed into a prime (10011121019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556173381 + ... + 556173398.

It is an arithmetic number, because the mean of its divisors is an integer number (2410084690).

Almost surely, 2^10011121011 is an apocalyptic number.

10011121011 is a deficient number, since it is larger than the sum of its proper divisors (4449387129).

10011121011 is a wasteful number, since it uses less digits than its factorization.

10011121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112346785 (or 1112346782 counting only the distinct ones).

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

Adding to 10011121011 its reverse (11012111001), we get a palindrome (21023232012).

It can be divided in two parts, 10011 and 121011, that multiplied together give a palindrome (1211441121).

The spelling of 10011121011 in words is "ten billion, eleven million, one hundred twenty-one thousand, eleven".