100200210002100 has 162 divisors, whose sum is σ = 340089790207986. Its totient is φ = 24664667040000.

The previous prime is 100200210002089. The next prime is 100200210002119. The reversal of 100200210002100 is 1200012002001.

100200210002100 is digitally balanced in base 4, 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 9 ways, for example, as 82071315099684 + 18128894902416 = 9059322^2 + 4257804^2 .

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 329237151 + ... + 329541350.

Almost surely, 2^{100200210002100} is an apocalyptic number.

100200210002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200210002100 is an abundant number, since it is smaller than the sum of its proper divisors (239889580205886).

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

100200210002100 is a wasteful number, since it uses less digits than its factorization.

100200210002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658778547 (or 658778524 counting only the distinct ones).

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

Adding to 100200210002100 its reverse (1200012002001), we get a palindrome (101400222004101).

The spelling of 100200210002100 in words is "one hundred trillion, two hundred billion, two hundred ten million, two thousand, one hundred".