10111122121212 has 288 divisors, whose sum is σ = 29868020582400. Its totient is φ = 2824694208000.

The previous prime is 10111122121207. The next prime is 10111122121327. The reversal of 10111122121212 is 21212122111101.

It is a happy number.

10111122121212 is a `hidden beast` number, since 101 + 111 + 221 + 21 + 212 = 666.

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

It is a congruent number.

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, 862791489 + ... + 862803207.

It is an arithmetic number, because the mean of its divisors is an integer number (103708404800).

Almost surely, 2^{10111122121212} is an apocalyptic number.

10111122121212 is a gapful number since it is divisible by the number (12) 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 10111122121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934010291200).

10111122121212 is an abundant number, since it is smaller than the sum of its proper divisors (19756898461188).

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

10111122121212 is a wasteful number, since it uses less digits than its factorization.

10111122121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12257 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10111122121212 its reverse (21212122111101), we get a palindrome (31323244232313).

The spelling of 10111122121212 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twelve".