1011011121 has 12 divisors (see below), whose sum is σ = 1464687172. Its totient is φ = 672005376.

The previous prime is 1011011119. The next prime is 1011011123. The reversal of 1011011121 is 1211101101.

It is an interprime number because it is at equal distance from previous prime (1011011119) and next prime (1011011123).

It can be written as a sum of positive squares in 2 ways, for example, as 315950625 + 695060496 = 17775^2 + 26364^2 .

It is not a de Polignac number, because 1011011121 - 2¹ = 1011011119 is a prime.

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

It is a Duffinian number.

1011011121 is a modest number, since divided by 11121 gives 1011 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011011123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163636 + ... + 169701.

Almost surely, 2^1011011121 is an apocalyptic number.

It is an amenable number.

1011011121 is a deficient number, since it is larger than the sum of its proper divisors (453676051).

1011011121 is a wasteful number, since it uses less digits than its factorization.

1011011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333680 (or 333677 counting only the distinct ones).

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

The square root of 1011011121 is about 31796.4010699324. The cubic root of 1011011121 is about 1003.6569838336.

Adding to 1011011121 its reverse (1211101101), we get a palindrome (2222112222).

The spelling of 1011011121 in words is "one billion, eleven million, eleven thousand, one hundred twenty-one".