10102201012002 has 40 divisors (see below), whose sum is σ = 22224704420880. Its totient is φ = 3061273007320.

The previous prime is 10102201011997. The next prime is 10102201012039. The reversal of 10102201012002 is 20021010220101.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 57411648 + ... + 57587339.

It is an arithmetic number, because the mean of its divisors is an integer number (555617610522).

Almost surely, 2^{10102201012002} is an apocalyptic number.

10102201012002 is an abundant number, since it is smaller than the sum of its proper divisors (12122503408878).

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

10102201012002 is an equidigital number, since it uses as much as digits as its factorization.

10102201012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114999036 (or 114999003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102201012002 its reverse (20021010220101), we get a palindrome (30123211232103).

It can be divided in two parts, 1010220101 and 2002, that multiplied together give a palindrome (2022460642202).

The spelling of 10102201012002 in words is "ten trillion, one hundred two billion, two hundred one million, twelve thousand, two".