10121211221112 has 192 divisors, whose sum is σ = 29540818944000. Its totient is φ = 3242991841920.

The previous prime is 10121211221089. The next prime is 10121211221137. The reversal of 10121211221112 is 21112211212101.

It is a happy number.

10121211221112 is a `hidden beast` number, since 1 + 0 + 121 + 211 + 221 + 112 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8415753 + ... + 9542919.

It is an arithmetic number, because the mean of its divisors is an integer number (153858432000).

Almost surely, 2^{10121211221112} is an apocalyptic number.

10121211221112 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 10121211221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770409472000).

10121211221112 is an abundant number, since it is smaller than the sum of its proper divisors (19419607722888).

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

10121211221112 is a wasteful number, since it uses less digits than its factorization.

10121211221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127368 (or 1127352 counting only the distinct ones).

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

Adding to 10121211221112 its reverse (21112211212101), we get a palindrome (31233422433213).

The spelling of 10121211221112 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twelve".