10133323421100 has 288 divisors, whose sum is σ = 33887088087552. Its totient is φ = 2310612480000.

The previous prime is 10133323421057. The next prime is 10133323421161. The reversal of 10133323421100 is 112432333101.

It is a super-2 number, since 2×10133323421100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90882385 + ... + 90993815.

It is an arithmetic number, because the mean of its divisors is an integer number (117663500304).

Almost surely, 2^{10133323421100} is an apocalyptic number.

10133323421100 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 10133323421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943544043776).

10133323421100 is an abundant number, since it is smaller than the sum of its proper divisors (23753764666452).

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

10133323421100 is a wasteful number, since it uses less digits than its factorization.

10133323421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113097 (or 113090 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10133323421100 its reverse (112432333101), we get a palindrome (10245755754201).

The spelling of 10133323421100 in words is "ten trillion, one hundred thirty-three billion, three hundred twenty-three million, four hundred twenty-one thousand, one hundred".