100210221102100 has 36 divisors (see below), whose sum is σ = 218142161500284. Its totient is φ = 39957640199680.

The previous prime is 100210221102083. The next prime is 100210221102119. The reversal of 100210221102100 is 1201122012001.

It can be written as a sum of positive squares in 6 ways, for example, as 19453074798096 + 80757146304004 = 4410564^2 + 8986498^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1580571157 + ... + 1580634556.

It is an arithmetic number, because the mean of its divisors is an integer number (6059504486119).

Almost surely, 2^{100210221102100} is an apocalyptic number.

100210221102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210221102100 is an abundant number, since it is smaller than the sum of its proper divisors (117931940398184).

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

100210221102100 is a wasteful number, since it uses less digits than its factorization.

100210221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161206044 (or 3161206037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210221102100 its reverse (1201122012001), we get a palindrome (101411343114101).

Subtracting from 100210221102100 its reverse (1201122012001), we obtain a palindrome (99009099090099).

The spelling of 100210221102100 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, one hundred two thousand, one hundred".