1020011121 has 12 divisors (see below), whose sum is σ = 1475656260. Its totient is φ = 678942720.

The previous prime is 1020011093. The next prime is 1020011123. The reversal of 1020011121 is 1211100201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 828576225 + 191434896 = 28785^2 + 13836^2 .

It is not a de Polignac number, because 1020011121 - 2⁷ = 1020010993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1020011123) 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, 82636 + ... + 94173.

It is an arithmetic number, because the mean of its divisors is an integer number (122971355).

Almost surely, 2^1020011121 is an apocalyptic number.

It is an amenable number.

1020011121 is a deficient number, since it is larger than the sum of its proper divisors (455645139).

1020011121 is a wasteful number, since it uses less digits than its factorization.

1020011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177456 (or 177453 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1020011121 is about 31937.6129508766. The cubic root of 1020011121 is about 1006.6263679295.

Adding to 1020011121 its reverse (1211100201), we get a palindrome (2231111322).

It can be divided in two parts, 10200 and 11121, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 1020011121 in words is "one billion, twenty million, eleven thousand, one hundred twenty-one".