212011100212122 has 24 divisors (see below), whose sum is σ = 459359815577364. Its totient is φ = 70669992616704.

The previous prime is 212011100212091. The next prime is 212011100212123. The reversal of 212011100212122 is 221212001110212.

212011100212122 is a `hidden beast` number, since 21 + 201 + 110 + 0 + 212 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211903075585881 + 108024626241 = 14556891^2 + 328671^2 .

It is a super-2 number, since 2×212011100212122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212011100212095 and 212011100212104.

It is not an unprimeable number, because it can be changed into a prime (212011100212123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27671473 + ... + 34492500.

Almost surely, 2^{212011100212122} is an apocalyptic number.

212011100212122 is an abundant number, since it is smaller than the sum of its proper divisors (247348715365242).

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

212011100212122 is a wasteful number, since it uses less digits than its factorization.

212011100212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62353454 (or 62353451 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212011100212122 its reverse (221212001110212), we get a palindrome (433223101322334).

The spelling of 212011100212122 in words is "two hundred twelve trillion, eleven billion, one hundred million, two hundred twelve thousand, one hundred twenty-two".