212101012021120 has 64 divisors (see below), whose sum is σ = 507130829964000. Its totient is φ = 84827546564608.

The previous prime is 212101012021051. The next prime is 212101012021139. The reversal of 212101012021120 is 21120210101212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212101012021094 and 212101012021103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20887099 + ... + 29333818.

Almost surely, 2^{212101012021120} is an apocalyptic number.

212101012021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101012021120 is an abundant number, since it is smaller than the sum of its proper divisors (295029817942880).

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

212101012021120 is an equidigital number, since it uses as much as digits as its factorization.

212101012021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50227535 (or 50227523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212101012021120 its reverse (21120210101212), we get a palindrome (233221222122332).

The spelling of 212101012021120 in words is "two hundred twelve trillion, one hundred one billion, twelve million, twenty-one thousand, one hundred twenty".