2100203001000 has 768 divisors, whose sum is σ = 8110581373440. Its totient is φ = 485592883200.

The previous prime is 2100203000981. The next prime is 2100203001023. The reversal of 2100203001000 is 1003020012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 191 ways as a sum of consecutive naturals, for example, 1636946359 + ... + 1636947641.

It is an arithmetic number, because the mean of its divisors is an integer number (10560652830).

Almost surely, 2^{2100203001000} is an apocalyptic number.

2100203001000 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 2100203001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055290686720).

2100203001000 is an abundant number, since it is smaller than the sum of its proper divisors (6010378372440).

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

2100203001000 is a wasteful number, since it uses less digits than its factorization.

2100203001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2100203001000 its reverse (1003020012), we get a palindrome (2101206021012).

The spelling of 2100203001000 in words is "two trillion, one hundred billion, two hundred three million, one thousand".