100201020001002 has 80 divisors (see below), whose sum is σ = 229336289614080. Its totient is φ = 32684752612512.

The previous prime is 100201020000941. The next prime is 100201020001031. The reversal of 100201020001002 is 200100020102001.

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 39 ways as a sum of consecutive naturals, for example, 49542699 + ... + 51525537.

It is an arithmetic number, because the mean of its divisors is an integer number (2866703620176).

Almost surely, 2^{100201020001002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201020001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114668144807040).

100201020001002 is an abundant number, since it is smaller than the sum of its proper divisors (129135269613078).

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

100201020001002 is a wasteful number, since it uses less digits than its factorization.

100201020001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989537 (or 1989528 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100201020001002 its reverse (200100020102001), we get a palindrome (300301040103003).

The spelling of 100201020001002 in words is "one hundred trillion, two hundred one billion, twenty million, one thousand, two".