1010011002 has 128 divisors (see below), whose sum is σ = 2728470528. Its totient is φ = 240710400.

The previous prime is 1010010943. The next prime is 1010011007. The reversal of 1010011002 is 2001100101.

It is a super-2 number, since 2×1010011002² = 2040244448322088008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1010011007) 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 63 ways as a sum of consecutive naturals, for example, 1266868 + ... + 1267664.

It is an arithmetic number, because the mean of its divisors is an integer number (21316176).

Almost surely, 2^1010011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364235264).

1010011002 is an abundant number, since it is smaller than the sum of its proper divisors (1718459526).

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

1010011002 is a wasteful number, since it uses less digits than its factorization.

1010011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1010011002 is about 31780.6702572491. The cubic root of 1010011002 is about 1003.3259266153.

Adding to 1010011002 its reverse (2001100101), we get a palindrome (3011111103).

The spelling of 1010011002 in words is "one billion, ten million, eleven thousand, two".