2001202102100 has 144 divisors (see below), whose sum is σ = 4577334281856. Its totient is φ = 758616768000.

The previous prime is 2001202101929. The next prime is 2001202102187. The reversal of 2001202102100 is 12012021002.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21758210 + ... + 21849990.

It is an arithmetic number, because the mean of its divisors is an integer number (31787043624).

Almost surely, 2^{2001202102100} is an apocalyptic number.

2001202102100 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 2001202102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288667140928).

2001202102100 is an abundant number, since it is smaller than the sum of its proper divisors (2576132179756).

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

2001202102100 is a wasteful number, since it uses less digits than its factorization.

2001202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91986 (or 91979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001202102100 its reverse (12012021002), we get a palindrome (2013214123102).

The spelling of 2001202102100 in words is "two trillion, one billion, two hundred two million, one hundred two thousand, one hundred".