10103002233000 has 256 divisors, whose sum is σ = 33404706167040. Its totient is φ = 2533441536000.

The previous prime is 10103002232971. The next prime is 10103002233001. The reversal of 10103002233000 is 33220030101.

It is a super-3 number, since 3×10103002233000³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10103002233001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58717095 + ... + 58888905.

It is an arithmetic number, because the mean of its divisors is an integer number (130487133465).

Almost surely, 2^{10103002233000} is an apocalyptic number.

10103002233000 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 10103002233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702353083520).

10103002233000 is an abundant number, since it is smaller than the sum of its proper divisors (23301703934040).

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

10103002233000 is a wasteful number, since it uses less digits than its factorization.

10103002233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173005 (or 172991 counting only the distinct ones).

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

Adding to 10103002233000 its reverse (33220030101), we get a palindrome (10136222263101).

The spelling of 10103002233000 in words is "ten trillion, one hundred three billion, two million, two hundred thirty-three thousand".