10032021312000 has 320 divisors, whose sum is σ = 33364105632000. Its totient is φ = 2674392268800.

The previous prime is 10032021311989. The next prime is 10032021312011. The reversal of 10032021312000 is 21312023001.

It is an interprime number because it is at equal distance from previous prime (10032021311989) and next prime (10032021312011).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892602381 + ... + 892613619.

It is an arithmetic number, because the mean of its divisors is an integer number (104262830100).

Almost surely, 2^{10032021312000} is an apocalyptic number.

10032021312000 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 10032021312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682052816000).

10032021312000 is an abundant number, since it is smaller than the sum of its proper divisors (23332084320000).

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

10032021312000 is an equidigital number, since it uses as much as digits as its factorization.

10032021312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 15898 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032021312000 its reverse (21312023001), we get a palindrome (10053333335001).

The spelling of 10032021312000 in words is "ten trillion, thirty-two billion, twenty-one million, three hundred twelve thousand".