212202101001120 has 192 divisors, whose sum is σ = 680310414000000. Its totient is φ = 55583573999616.

The previous prime is 212202101001071. The next prime is 212202101001157. The reversal of 212202101001120 is 21100101202212.

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 212202101001120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32372076 + ... + 38371284.

It is an arithmetic number, because the mean of its divisors is an integer number (3543283406250).

Almost surely, 2^{212202101001120} is an apocalyptic number.

212202101001120 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 212202101001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340155207000000).

212202101001120 is an abundant number, since it is smaller than the sum of its proper divisors (468108312998880).

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

212202101001120 is a wasteful number, since it uses less digits than its factorization.

212202101001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000535 (or 6000527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212202101001120 its reverse (21100101202212), we get a palindrome (233302202203332).

The spelling of 212202101001120 in words is "two hundred twelve trillion, two hundred two billion, one hundred one million, one thousand, one hundred twenty".