1010322000000 has 1008 divisors, whose sum is σ = 3826056689910. Its totient is φ = 255744000000.

The previous prime is 1010321999993. The next prime is 1010322000013. The reversal of 1010322000000 is 2230101.

It is a happy number.

It can be written as a sum of positive squares in 21 ways, for example, as 990630052416 + 19691947584 = 995304^2 + 140328^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 24641999980 + ... + 24642000020.

Almost surely, 2^{1010322000000} is an apocalyptic number.

1010322000000 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 1010322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913028344955).

1010322000000 is an abundant number, since it is smaller than the sum of its proper divisors (2815734689910).

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

1010322000000 is an frugal number, since it uses more digits than its factorization.

1010322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1010322000000 its reverse (2230101), we get a palindrome (1010324230101).

The spelling of 1010322000000 in words is "one trillion, ten billion, three hundred twenty-two million", and thus it is an aban number.