100221202010100 has 144 divisors (see below), whose sum is σ = 292967409996800. Its totient is φ = 26450262443520.

The previous prime is 100221202010093. The next prime is 100221202010131. The reversal of 100221202010100 is 1010202122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 26930541 + ... + 30425259.

Almost surely, 2^{100221202010100} is an apocalyptic number.

100221202010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221202010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146483704998400).

100221202010100 is an abundant number, since it is smaller than the sum of its proper divisors (192746207986700).

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

100221202010100 is a wasteful number, since it uses less digits than its factorization.

100221202010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495722 (or 3495715 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100221202010100 its reverse (1010202122001), we get a palindrome (101231404132101).

The spelling of 100221202010100 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, ten thousand, one hundred".