212101211001120 has 576 divisors, whose sum is σ = 809649899856000. Its totient is φ = 46496160399360.

The previous prime is 212101211001109. The next prime is 212101211001137. The reversal of 212101211001120 is 21100112101212.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212101211001120.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55030906 + ... + 58758854.

It is an arithmetic number, because the mean of its divisors is an integer number (1405642187250).

Almost surely, 2^{212101211001120} is an apocalyptic number.

212101211001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101211001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404824949928000).

212101211001120 is an abundant number, since it is smaller than the sum of its proper divisors (597548688854880).

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

212101211001120 is a wasteful number, since it uses less digits than its factorization.

212101211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728081 (or 3728066 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212101211001120 its reverse (21100112101212), we get a palindrome (233201323102332).

The spelling of 212101211001120 in words is "two hundred twelve trillion, one hundred one billion, two hundred eleven million, one thousand, one hundred twenty".