212011102110120 has 128 divisors (see below), whose sum is σ = 653432737789440. Its totient is φ = 54990657146880.

The previous prime is 212011102110109. The next prime is 212011102110127. The reversal of 212011102110120 is 21011201110212.

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 212011102110120.

It is not an unprimeable number, because it can be changed into a prime (212011102110127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6207409 + ... + 21507071.

It is an arithmetic number, because the mean of its divisors is an integer number (5104943263980).

Almost surely, 2^{212011102110120} is an apocalyptic number.

212011102110120 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 212011102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326716368894720).

212011102110120 is an abundant number, since it is smaller than the sum of its proper divisors (441421635679320).

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

212011102110120 is a wasteful number, since it uses less digits than its factorization.

212011102110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15302835 (or 15302831 counting only the distinct ones).

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

Adding to 212011102110120 its reverse (21011201110212), we get a palindrome (233022303220332).

The spelling of 212011102110120 in words is "two hundred twelve trillion, eleven billion, one hundred two million, one hundred ten thousand, one hundred twenty".