10032100101324 has 384 divisors, whose sum is σ = 31777157744640. Its totient is φ = 2671742361600.

The previous prime is 10032100101323. The next prime is 10032100101347. The reversal of 10032100101324 is 42310100123001.

10032100101324 is a `hidden beast` number, since 10 + 0 + 321 + 0 + 0 + 10 + 1 + 324 = 666.

It is a super-2 number, since 2×10032100101324² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10032100101297 and 10032100101306.

It is not an unprimeable number, because it can be changed into a prime (10032100101323) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 877156134 + ... + 877167570.

It is an arithmetic number, because the mean of its divisors is an integer number (82753014960).

Almost surely, 2^{10032100101324} is an apocalyptic number.

10032100101324 is a gapful number since it is divisible by the number (14) 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 10032100101324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888578872320).

10032100101324 is an abundant number, since it is smaller than the sum of its proper divisors (21745057643316).

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

10032100101324 is a wasteful number, since it uses less digits than its factorization.

10032100101324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12126 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10032100101324 its reverse (42310100123001), we get a palindrome (52342200224325).

The spelling of 10032100101324 in words is "ten trillion, thirty-two billion, one hundred million, one hundred one thousand, three hundred twenty-four".