212101033431200 has 72 divisors (see below), whose sum is σ = 517794729016320. Its totient is φ = 84839908524800.

The previous prime is 212101033431181. The next prime is 212101033431241. The reversal of 212101033431200 is 2134330101212.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 152291591 + ... + 153678009.

It is an arithmetic number, because the mean of its divisors is an integer number (7191593458560).

Almost surely, 2^{212101033431200} is an apocalyptic number.

212101033431200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101033431200 is an abundant number, since it is smaller than the sum of its proper divisors (305693695585120).

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

212101033431200 is a wasteful number, since it uses less digits than its factorization.

212101033431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577670 (or 1577657 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 212101033431200 its reverse (2134330101212), we get a palindrome (214235363532412).

The spelling of 212101033431200 in words is "two hundred twelve trillion, one hundred one billion, thirty-three million, four hundred thirty-one thousand, two hundred".