1010332020000 has 240 divisors, whose sum is σ = 3368432656512. Its totient is φ = 265004160000.

The previous prime is 1010332019999. The next prime is 1010332020001. The reversal of 1010332020000 is 202330101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010332019999) and next prime (1010332020001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1010332020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3521977 + ... + 3798023.

Almost surely, 2^{1010332020000} is an apocalyptic number.

1010332020000 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 1010332020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684216328256).

1010332020000 is an abundant number, since it is smaller than the sum of its proper divisors (2358100636512).

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

1010332020000 is an equidigital number, since it uses as much as digits as its factorization.

1010332020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276141 (or 276118 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1010332020000 its reverse (202330101), we get a palindrome (1010534350101).

The spelling of 1010332020000 in words is "one trillion, ten billion, three hundred thirty-two million, twenty thousand".