100021220211200 has 60 divisors (see below), whose sum is σ = 247810387262790. Its totient is φ = 40008488079360.

The previous prime is 100021220211163. The next prime is 100021220211203. The reversal of 100021220211200 is 2112022120001.

It can be written as a sum of positive squares in 3 ways, for example, as 44132318822656 + 55888901388544 = 6643216^2 + 7475888^2 .

It is not an unprimeable number, because it can be changed into a prime (100021220211203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3907066115 + ... + 3907091714.

Almost surely, 2^{100021220211200} is an apocalyptic number.

100021220211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021220211200 is an abundant number, since it is smaller than the sum of its proper divisors (147789167051590).

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

100021220211200 is an frugal number, since it uses more digits than its factorization.

100021220211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814157857 (or 7814157836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100021220211200 its reverse (2112022120001), we get a palindrome (102133242331201).

The spelling of 100021220211200 in words is "one hundred trillion, twenty-one billion, two hundred twenty million, two hundred eleven thousand, two hundred".