100221202111100 has 72 divisors (see below), whose sum is σ = 248556471763488. Its totient is φ = 34360464153600.

The previous prime is 100221202111091. The next prime is 100221202111159. The reversal of 100221202111100 is 1111202122001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19947944 + ... + 24461456.

Almost surely, 2^{100221202111100} is an apocalyptic number.

100221202111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221202111100 is an abundant number, since it is smaller than the sum of its proper divisors (148335269652388).

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

100221202111100 is a wasteful number, since it uses less digits than its factorization.

100221202111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545255 (or 4545248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100221202111100 its reverse (1111202122001), we get a palindrome (101332404233101).

The spelling of 100221202111100 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, one hundred".