2002102101200 has 180 divisors, whose sum is σ = 5213752643340. Its totient is φ = 738184181760.

The previous prime is 2002102101193. The next prime is 2002102101211. The reversal of 2002102101200 is 21012012002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11993754256 + 1990108346944 = 109516^2 + 1410712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5155436 + ... + 5530164.

It is an arithmetic number, because the mean of its divisors is an integer number (28965292463).

Almost surely, 2^{2002102101200} is an apocalyptic number.

2002102101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606876321670).

2002102101200 is an abundant number, since it is smaller than the sum of its proper divisors (3211650542140).

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

2002102101200 is a wasteful number, since it uses less digits than its factorization.

2002102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374822 (or 374792 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002102101200 its reverse (21012012002), we get a palindrome (2023114113202).

The spelling of 2002102101200 in words is "two trillion, two billion, one hundred two million, one hundred one thousand, two hundred".