210002100002100 has 162 divisors, whose sum is σ = 765707657168454. Its totient is φ = 48000479990400.

The previous prime is 210002100002077. The next prime is 210002100002117. The reversal of 210002100002100 is 1200001200012.

It can be written as a sum of positive squares in 3 ways, for example, as 22735902895524 + 187266197106576 = 4768218^2 + 13684524^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 53 ways as a sum of consecutive naturals, for example, 2380932091 + ... + 2381020290.

Almost surely, 2^{210002100002100} is an apocalyptic number.

210002100002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002100002100 is an abundant number, since it is smaller than the sum of its proper divisors (555705557166354).

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

210002100002100 is a wasteful number, since it uses less digits than its factorization.

210002100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761952415 (or 4761952398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210002100002100 its reverse (1200001200012), we get a palindrome (211202101202112).

The spelling of 210002100002100 in words is "two hundred ten trillion, two billion, one hundred million, two thousand, one hundred".