1002091210032 has 160 divisors (see below), whose sum is σ = 2831797253376. Its totient is φ = 302834995200.

The previous prime is 1002091209997. The next prime is 1002091210033. The reversal of 1002091210032 is 2300121902001.

It is a super-3 number, since 3×1002091210032³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002091209990 and 1002091210008.

It is not an unprimeable number, because it can be changed into a prime (1002091210033) 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 31 ways as a sum of consecutive naturals, for example, 502804428 + ... + 502806420.

Almost surely, 2^{1002091210032} is an apocalyptic number.

1002091210032 is a gapful number since it is divisible by the number (12) 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 1002091210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415898626688).

1002091210032 is an abundant number, since it is smaller than the sum of its proper divisors (1829706043344).

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

1002091210032 is a wasteful number, since it uses less digits than its factorization.

1002091210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 1002091210032 in words is "one trillion, two billion, ninety-one million, two hundred ten thousand, thirty-two".