1010021120 has 72 divisors (see below), whose sum is σ = 2441075616. Its totient is φ = 400375808.

The previous prime is 1010021099. The next prime is 1010021123. The reversal of 1010021120 is 211200101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1010021098 and 1010021107.

It is not an unprimeable number, because it can be changed into a prime (1010021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141149 + ... + 148131.

It is an arithmetic number, because the mean of its divisors is an integer number (33903828).

Almost surely, 2^1010021120 is an apocalyptic number.

1010021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220537808).

1010021120 is an abundant number, since it is smaller than the sum of its proper divisors (1431054496).

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

1010021120 is an equidigital number, since it uses as much as digits as its factorization.

1010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1010021120 is about 31780.8294416618. The cubic root of 1010021120 is about 1003.3292769477.

Adding to 1010021120 its reverse (211200101), we get a palindrome (1221221221).

The spelling of 1010021120 in words is "one billion, ten million, twenty-one thousand, one hundred twenty".