212201102110100 has 36 divisors (see below), whose sum is σ = 462862279660284. Its totient is φ = 84440645806080.

The previous prime is 212201102110021. The next prime is 212201102110163. The reversal of 212201102110100 is 1011201102212.

It can be written as a sum of positive squares in 6 ways, for example, as 76265743116676 + 135935358993424 = 8733026^2 + 11659132^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5497418579 + ... + 5497457178.

It is an arithmetic number, because the mean of its divisors is an integer number (12857285546119).

Almost surely, 2^{212201102110100} is an apocalyptic number.

212201102110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201102110100 is an abundant number, since it is smaller than the sum of its proper divisors (250661177550184).

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

212201102110100 is a wasteful number, since it uses less digits than its factorization.

212201102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994875964 (or 10994875957 counting only the distinct ones).

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

Adding to 212201102110100 its reverse (1011201102212), we get a palindrome (213212303212312).

The spelling of 212201102110100 in words is "two hundred twelve trillion, two hundred one billion, one hundred two million, one hundred ten thousand, one hundred".