212102311020000 has 240 divisors, whose sum is σ = 704544826487040. Its totient is φ = 55844657856000.

The previous prime is 212102311019981. The next prime is 212102311020001. The reversal of 212102311020000 is 20113201212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102311020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17633662 + ... + 27113661.

It is an arithmetic number, because the mean of its divisors is an integer number (2935603443696).

Almost surely, 2^{212102311020000} is an apocalyptic number.

212102311020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102311020000 is an abundant number, since it is smaller than the sum of its proper divisors (492442515467040).

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

212102311020000 is an equidigital number, since it uses as much as digits as its factorization.

212102311020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44747435 (or 44747412 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212102311020000 its reverse (20113201212), we get a palindrome (212122424221212).

The spelling of 212102311020000 in words is "two hundred twelve trillion, one hundred two billion, three hundred eleven million, twenty thousand".