212101010020100 has 36 divisors (see below), whose sum is σ = 460530411435444. Its totient is φ = 84790409594880.

The previous prime is 212101010020093. The next prime is 212101010020201. The reversal of 212101010020100 is 1020010101212.

It can be written as a sum of positive squares in 6 ways, for example, as 8078009889856 + 204023000130244 = 2842184^2 + 14283662^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624759617 + ... + 625099016.

Almost surely, 2^{212101010020100} is an apocalyptic number.

212101010020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101010020100 is an abundant number, since it is smaller than the sum of its proper divisors (248429401415344).

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

212101010020100 is a wasteful number, since it uses less digits than its factorization.

212101010020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249860344 (or 1249860337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212101010020100 its reverse (1020010101212), we get a palindrome (213121020121312).

The spelling of 212101010020100 in words is "two hundred twelve trillion, one hundred one billion, ten million, twenty thousand, one hundred".