10100003232000 has 1152 divisors, whose sum is σ = 37200837413376. Its totient is φ = 2408448000000.

The previous prime is 10100003231971. The next prime is 10100003232041. The reversal of 10100003232000 is 23230000101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29970335832 + ... + 29970336168.

It is an arithmetic number, because the mean of its divisors is an integer number (32292393588).

Almost surely, 2^{10100003232000} is an apocalyptic number.

10100003232000 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 10100003232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600418706688).

10100003232000 is an abundant number, since it is smaller than the sum of its proper divisors (27100834181376).

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

10100003232000 is a wasteful number, since it uses less digits than its factorization.

10100003232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 740 counting only the distinct ones).

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

Adding to 10100003232000 its reverse (23230000101), we get a palindrome (10123233232101).

The spelling of 10100003232000 in words is "ten trillion, one hundred billion, three million, two hundred thirty-two thousand".