10001020100202 has 96 divisors (see below), whose sum is σ = 23481468616320. Its totient is φ = 3065559073920.

The previous prime is 10001020100191. The next prime is 10001020100209. The reversal of 10001020100202 is 20200102010001.

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

It is not an unprimeable number, because it can be changed into a prime (10001020100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4388683 + ... + 6265985.

It is an arithmetic number, because the mean of its divisors is an integer number (244598631420).

Almost surely, 2^{10001020100202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001020100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740734308160).

10001020100202 is an abundant number, since it is smaller than the sum of its proper divisors (13480448516118).

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

10001020100202 is a wasteful number, since it uses less digits than its factorization.

10001020100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877788 (or 1877785 counting only the distinct ones).

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

Adding to 10001020100202 its reverse (20200102010001), we get a palindrome (30201122110203).

The spelling of 10001020100202 in words is "ten trillion, one billion, twenty million, one hundred thousand, two hundred two".