2032110201000 has 512 divisors, whose sum is σ = 7034926878720. Its totient is φ = 484235136000.

The previous prime is 2032110200929. The next prime is 2032110201013. The reversal of 2032110201000 is 1020112302.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1642772382 + ... + 1642773618.

It is an arithmetic number, because the mean of its divisors is an integer number (13740091560).

Almost surely, 2^{2032110201000} is an apocalyptic number.

2032110201000 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 2032110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517463439360).

2032110201000 is an abundant number, since it is smaller than the sum of its proper divisors (5002816677720).

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

2032110201000 is a wasteful number, since it uses less digits than its factorization.

2032110201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2068 counting only the distinct ones).

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

Adding to 2032110201000 its reverse (1020112302), we get a palindrome (2033130313302).

The spelling of 2032110201000 in words is "two trillion, thirty-two billion, one hundred ten million, two hundred one thousand".