100201020100002 has 96 divisors (see below), whose sum is σ = 220841244998400. Its totient is φ = 32828955554304.

The previous prime is 100201020099991. The next prime is 100201020100079. The reversal of 100201020100002 is 200001020102001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2952542778 + ... + 2952576714.

It is an arithmetic number, because the mean of its divisors is an integer number (2300429635400).

Almost surely, 2^{100201020100002} is an apocalyptic number.

100201020100002 is an abundant number, since it is smaller than the sum of its proper divisors (120640224898398).

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

100201020100002 is a wasteful number, since it uses less digits than its factorization.

100201020100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43320 (or 43317 counting only the distinct ones).

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

Adding to 100201020100002 its reverse (200001020102001), we get a palindrome (300202040202003).

The spelling of 100201020100002 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred thousand, two".