212133122220100 has 18 divisors (see below), whose sum is σ = 460328875217834. Its totient is φ = 84853248888000.

The previous prime is 212133122220077. The next prime is 212133122220121. The reversal of 212133122220100 is 1022221331212.

It can be written as a sum of positive squares in 3 ways, for example, as 20698004844036 + 191435117376064 = 4549506^2 + 13836008^2 .

It is a super-3 number, since 3×212133122220100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060665611001 + ... + 1060665611200.

Almost surely, 2^{212133122220100} is an apocalyptic number.

212133122220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133122220100 is an abundant number, since it is smaller than the sum of its proper divisors (248195752997734).

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

212133122220100 is a wasteful number, since it uses less digits than its factorization.

212133122220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121331222215 (or 2121331222208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212133122220100 its reverse (1022221331212), we get a palindrome (213155343551312).

The spelling of 212133122220100 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".