212421124400100 has 144 divisors (see below), whose sum is σ = 766260928828416. Its totient is φ = 44139454416000.

The previous prime is 212421124400087. The next prime is 212421124400131. The reversal of 212421124400100 is 1004421124212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4597836736 + ... + 4597882935.

Almost surely, 2^{212421124400100} is an apocalyptic number.

212421124400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212421124400100 is an abundant number, since it is smaller than the sum of its proper divisors (553839804428316).

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

212421124400100 is a wasteful number, since it uses less digits than its factorization.

212421124400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195719706 (or 9195719699 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212421124400100 its reverse (1004421124212), we get a palindrome (213425545524312).

The spelling of 212421124400100 in words is "two hundred twelve trillion, four hundred twenty-one billion, one hundred twenty-four million, four hundred thousand, one hundred".