212121012110000 has 100 divisors (see below), whose sum is σ = 586932780101712. Its totient is φ = 72727204128000.

The previous prime is 212121012109987. The next prime is 212121012110009. The reversal of 212121012110000 is 11210121212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×212121012110000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212121012110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1515080087 + ... + 1515220086.

Almost surely, 2^{212121012110000} is an apocalyptic number.

212121012110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121012110000 is an abundant number, since it is smaller than the sum of its proper divisors (374811767991712).

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

212121012110000 is an equidigital number, since it uses as much as digits as its factorization.

212121012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030300208 (or 3030300187 counting only the distinct ones).

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

Adding to 212121012110000 its reverse (11210121212), we get a palindrome (212132222231212).

The spelling of 212121012110000 in words is "two hundred twelve trillion, one hundred twenty-one billion, twelve million, one hundred ten thousand".