1011121011 has 48 divisors (see below), whose sum is σ = 1530067968. Its totient is φ = 642969600.

The previous prime is 1011120997. The next prime is 1011121021. The reversal of 1011121011 is 1101211101.

It is not a de Polignac number, because 1011121011 - 2⁶ = 1011120947 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 = 1011120984 and 1011121002.

It is not an unprimeable number, because it can be changed into a prime (1011121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934195 + ... + 3934451.

It is an arithmetic number, because the mean of its divisors is an integer number (31876416).

Almost surely, 2^1011121011 is an apocalyptic number.

1011121011 is a deficient number, since it is larger than the sum of its proper divisors (518946957).

1011121011 is a wasteful number, since it uses less digits than its factorization.

1011121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

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

The square root of 1011121011 is about 31798.1290487349. The cubic root of 1011121011 is about 1003.6933460681.

Adding to 1011121011 its reverse (1101211101), we get a palindrome (2112332112).

The spelling of 1011121011 in words is "one billion, eleven million, one hundred twenty-one thousand, eleven".