1002101233200 has 60 divisors (see below), whose sum is σ = 3210064287528. Its totient is φ = 267226995200.

The previous prime is 1002101233187. The next prime is 1002101233201. The reversal of 1002101233200 is 23321012001.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002101233200.

It is not an unprimeable number, because it can be changed into a prime (1002101233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417540981 + ... + 417543380.

Almost surely, 2^{1002101233200} is an apocalyptic number.

1002101233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101233200 is an abundant number, since it is smaller than the sum of its proper divisors (2207963054328).

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

1002101233200 is a wasteful number, since it uses less digits than its factorization.

1002101233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835084382 (or 835084371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002101233200 its reverse (23321012001), we get a palindrome (1025422245201).

The spelling of 1002101233200 in words is "one trillion, two billion, one hundred one million, two hundred thirty-three thousand, two hundred".