10203044033100 has 144 divisors (see below), whose sum is σ = 29971206720000. Its totient is φ = 2679326833920.

The previous prime is 10203044033093. The next prime is 10203044033101. The reversal of 10203044033100 is 133044030201.

It is a super-2 number, since 2×10203044033100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10203044033101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62610526 + ... + 62773274.

It is an arithmetic number, because the mean of its divisors is an integer number (208133380000).

Almost surely, 2^{10203044033100} is an apocalyptic number.

10203044033100 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 10203044033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985603360000).

10203044033100 is an abundant number, since it is smaller than the sum of its proper divisors (19768162686900).

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

10203044033100 is a wasteful number, since it uses less digits than its factorization.

10203044033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165952 (or 165945 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10203044033100 its reverse (133044030201), we get a palindrome (10336088063301).

The spelling of 10203044033100 in words is "ten trillion, two hundred three billion, forty-four million, thirty-three thousand, one hundred".