10100132322000 has 320 divisors, whose sum is σ = 37296162369024. Its totient is φ = 2303545651200.

The previous prime is 10100132321989. The next prime is 10100132322017. The reversal of 10100132322000 is 22323100101.

It is a super-2 number, since 2×10100132322000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18930894 + ... + 19457106.

Almost surely, 2^{10100132322000} is an apocalyptic number.

10100132322000 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 10100132322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648081184512).

10100132322000 is an abundant number, since it is smaller than the sum of its proper divisors (27196030047024).

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

10100132322000 is a wasteful number, since it uses less digits than its factorization.

10100132322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526703 (or 526687 counting only the distinct ones).

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

Adding to 10100132322000 its reverse (22323100101), we get a palindrome (10122455422101).

The spelling of 10100132322000 in words is "ten trillion, one hundred billion, one hundred thirty-two million, three hundred twenty-two thousand".