12002201010100 has 72 divisors (see below), whose sum is σ = 29770085217600. Its totient is φ = 4114400709120.

The previous prime is 12002201010061. The next prime is 12002201010113. The reversal of 12002201010100 is 101010220021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184947 + ... + 5843653.

It is an arithmetic number, because the mean of its divisors is an integer number (413473405800).

Almost surely, 2^{12002201010100} is an apocalyptic number.

12002201010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002201010100 is an abundant number, since it is smaller than the sum of its proper divisors (17767884207500).

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

12002201010100 is a wasteful number, since it uses less digits than its factorization.

12002201010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665177 (or 2665170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12002201010100 its reverse (101010220021), we get a palindrome (12103211230121).

The spelling of 12002201010100 in words is "twelve trillion, two billion, two hundred one million, ten thousand, one hundred".