200202100002100 has 108 divisors (see below), whose sum is σ = 505637141216844. Its totient is φ = 68604069381120.

The previous prime is 200202100002077. The next prime is 200202100002103. The reversal of 200202100002100 is 1200001202002.

200202100002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14353990059556 + 185848109942544 = 3788666^2 + 13632612^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202100002103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1729287 + ... + 20084686.

Almost surely, 2^{200202100002100} is an apocalyptic number.

200202100002100 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 200202100002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252818570608422).

200202100002100 is an abundant number, since it is smaller than the sum of its proper divisors (305435041214744).

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

200202100002100 is a wasteful number, since it uses less digits than its factorization.

200202100002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21815874 (or 21815860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200202100002100 its reverse (1200001202002), we get a palindrome (201402101204102).

The spelling of 200202100002100 in words is "two hundred trillion, two hundred two billion, one hundred million, two thousand, one hundred".