100203323100000 has 288 divisors, whose sum is σ = 329575356139680. Its totient is φ = 26655521280000.

The previous prime is 100203323099981. The next prime is 100203323100017. The reversal of 100203323100000 is 1323302001.

It is a super-2 number, since 2×100203323100000² (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 122291674 + ... + 123108326.

It is an arithmetic number, because the mean of its divisors is an integer number (1144358875485).

Almost surely, 2^{100203323100000} is an apocalyptic number.

100203323100000 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 100203323100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164787678069840).

100203323100000 is an abundant number, since it is smaller than the sum of its proper divisors (229372033039680).

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

100203323100000 is an frugal number, since it uses more digits than its factorization.

100203323100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817100 (or 817072 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100203323100000 its reverse (1323302001), we get a palindrome (100204646402001).

The spelling of 100203323100000 in words is "one hundred trillion, two hundred three billion, three hundred twenty-three million, one hundred thousand".