10100201010002 has 16 divisors (see below), whose sum is σ = 15415953583680. Its totient is φ = 4961937346608.

The previous prime is 10100201010001. The next prime is 10100201010047. The reversal of 10100201010002 is 20001010200101.

10100201010002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10100201010001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96830438 + ... + 96934689.

It is an arithmetic number, because the mean of its divisors is an integer number (963497098980).

Almost surely, 2^{10100201010002} is an apocalyptic number.

10100201010002 is a deficient number, since it is larger than the sum of its proper divisors (5315752573678).

10100201010002 is a wasteful number, since it uses less digits than its factorization.

10100201010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193765585.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100201010002 its reverse (20001010200101), we get a palindrome (30101211210103).

It can be divided in two parts, 10100 and 201010002, that added together give a palindrome (201020102).

The spelling of 10100201010002 in words is "ten trillion, one hundred billion, two hundred one million, ten thousand, two".