212101122213120 has 216 divisors, whose sum is σ = 787993544921184. Its totient is φ = 48480256462848.

The previous prime is 212101122213067. The next prime is 212101122213157. The reversal of 212101122213120 is 21312221101212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563430894 + ... + 563807213.

It is an arithmetic number, because the mean of its divisors is an integer number (3648118263524).

Almost surely, 2^{212101122213120} is an apocalyptic number.

212101122213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101122213120 is an abundant number, since it is smaller than the sum of its proper divisors (575892422708064).

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

212101122213120 is a wasteful number, since it uses less digits than its factorization.

212101122213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127238145 (or 1127238124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 212101122213120 its reverse (21312221101212), we get a palindrome (233413343314332).

The spelling of 212101122213120 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".