1011121020 has 144 divisors (see below), whose sum is σ = 3774912960. Its totient is φ = 213331968.

The previous prime is 1011120997. The next prime is 1011121021. The reversal of 1011121020 is 201211101.

It is a happy number.

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 = 1011120993 and 1011121011.

It is a congruent number.

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, 14485 + ... + 47244.

Almost surely, 2^1011121020 is an apocalyptic number.

1011121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011121020 is an abundant number, since it is smaller than the sum of its proper divisors (2763791940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011121020 is a wasteful number, since it uses less digits than its factorization.

1011121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61764 (or 61759 counting only the distinct ones).

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

The square root of 1011121020 is about 31798.1291902527. The cubic root of 1011121020 is about 1003.6933490460.

Adding to 1011121020 its reverse (201211101), we get a palindrome (1212332121).

The spelling of 1011121020 in words is "one billion, eleven million, one hundred twenty-one thousand, twenty".