100200110202100 has 18 divisors (see below), whose sum is σ = 217434239138774. Its totient is φ = 40080044080800.

The previous prime is 100200110202083. The next prime is 100200110202109. The reversal of 100200110202100 is 1202011002001.

It can be written as a sum of positive squares in 3 ways, for example, as 13251609356176 + 86948500845924 = 3640276^2 + 9324618^2 .

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 (100200110202109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501000550911 + ... + 501000551110.

Almost surely, 2^{100200110202100} is an apocalyptic number.

100200110202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200110202100 is an abundant number, since it is smaller than the sum of its proper divisors (117234128936674).

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

100200110202100 is a wasteful number, since it uses less digits than its factorization.

100200110202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002001102035 (or 1002001102028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200110202100 its reverse (1202011002001), we get a palindrome (101402121204101).

The spelling of 100200110202100 in words is "one hundred trillion, two hundred billion, one hundred ten million, two hundred two thousand, one hundred".