212020001022100 has 36 divisors (see below), whose sum is σ = 461230742460348. Its totient is φ = 84596509120000.

The previous prime is 212020001022083. The next prime is 212020001022113. The reversal of 212020001022100 is 1220100020212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6556559694084 + 205463441328016 = 2560578^2 + 14333996^2 .

It is a super-3 number, since 3×212020001022100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2643600811 + ... + 2643681010.

It is an arithmetic number, because the mean of its divisors is an integer number (12811965068343).

Almost surely, 2^{212020001022100} is an apocalyptic number.

212020001022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020001022100 is an abundant number, since it is smaller than the sum of its proper divisors (249210741438248).

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

212020001022100 is a wasteful number, since it uses less digits than its factorization.

212020001022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287282236 (or 5287282229 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212020001022100 its reverse (1220100020212), we get a palindrome (213240101042312).

The spelling of 212020001022100 in words is "two hundred twelve trillion, twenty billion, one million, twenty-two thousand, one hundred".