203102001102000 has 2560 divisors, whose sum is σ = 906130403942400. Its totient is φ = 38565273600000.

The previous prime is 203102001101977. The next prime is 203102001102037. The reversal of 203102001102000 is 201100201302.

203102001102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 29723690584 + ... + 29723697416.

It is an arithmetic number, because the mean of its divisors is an integer number (353957189040).

Almost surely, 2^{203102001102000} is an apocalyptic number.

203102001102000 is a gapful number since it is divisible by the number (20) 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 203102001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453065201971200).

203102001102000 is an abundant number, since it is smaller than the sum of its proper divisors (703028402840400).

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

203102001102000 is a wasteful number, since it uses less digits than its factorization.

203102001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 203102001102000 its reverse (201100201302), we get a palindrome (203303101303302).

The spelling of 203102001102000 in words is "two hundred three trillion, one hundred two billion, one million, one hundred two thousand".