212200011000100 has 72 divisors (see below), whose sum is σ = 461379042837440. Its totient is φ = 84713197956480.

The previous prime is 212200011000091. The next prime is 212200011000119. The reversal of 212200011000100 is 1000110002212.

It is a super-2 number, since 2×212200011000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1086330241 + ... + 1086525559.

Almost surely, 2^{212200011000100} is an apocalyptic number.

212200011000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200011000100 is an abundant number, since it is smaller than the sum of its proper divisors (249179031837340).

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

212200011000100 is a wasteful number, since it uses less digits than its factorization.

212200011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216629 (or 216622 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212200011000100 its reverse (1000110002212), we get a palindrome (213200121002312).

The spelling of 212200011000100 in words is "two hundred twelve trillion, two hundred billion, eleven million, one hundred", and thus it is an aban number.