10100332000000 has 252 divisors, whose sum is σ = 27492326374968. Its totient is φ = 3672832000000.

The previous prime is 10100331999983. The next prime is 10100332000001. The reversal of 10100332000000 is 23300101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10100332000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43885224 + ... + 44114776.

It is an arithmetic number, because the mean of its divisors is an integer number (109096533234).

Almost surely, 2^{10100332000000} is an apocalyptic number.

10100332000000 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 10100332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746163187484).

10100332000000 is an abundant number, since it is smaller than the sum of its proper divisors (17391994374968).

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

10100332000000 is an frugal number, since it uses more digits than its factorization.

10100332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229610 (or 229571 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10100332000000 its reverse (23300101), we get a palindrome (10100355300101).

The spelling of 10100332000000 in words is "ten trillion, one hundred billion, three hundred thirty-two million", and thus it is an aban number.