10333220032100 has 288 divisors, whose sum is σ = 27498827462400. Its totient is φ = 3291263539200.

The previous prime is 10333220032073. The next prime is 10333220032123. The reversal of 10333220032100 is 123002233301.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 95 ways as a sum of consecutive naturals, for example, 2157696506 + ... + 2157701294.

It is an arithmetic number, because the mean of its divisors is an integer number (95482039800).

Almost surely, 2^{10333220032100} is an apocalyptic number.

10333220032100 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 10333220032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749413731200).

10333220032100 is an abundant number, since it is smaller than the sum of its proper divisors (17165607430300).

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

10333220032100 is a wasteful number, since it uses less digits than its factorization.

10333220032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10333220032100 its reverse (123002233301), we get a palindrome (10456222265401).

The spelling of 10333220032100 in words is "ten trillion, three hundred thirty-three billion, two hundred twenty million, thirty-two thousand, one hundred".