210200202002100 has 144 divisors (see below), whose sum is σ = 610981272806912. Its totient is φ = 55795197911040.

The previous prime is 210200202002083. The next prime is 210200202002117. The reversal of 210200202002100 is 1200202002012.

It is an interprime number because it is at equal distance from previous prime (210200202002083) and next prime (210200202002117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558627624 + ... + 559003776.

Almost surely, 2^{210200202002100} is an apocalyptic number.

210200202002100 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 210200202002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305490636403456).

210200202002100 is an abundant number, since it is smaller than the sum of its proper divisors (400781070804812).

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

210200202002100 is a wasteful number, since it uses less digits than its factorization.

210200202002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384746 (or 384739 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210200202002100 its reverse (1200202002012), we get a palindrome (211400404004112).

The spelling of 210200202002100 in words is "two hundred ten trillion, two hundred billion, two hundred two million, two thousand, one hundred".