10121110213332 has 96 divisors (see below), whose sum is σ = 25444635955200. Its totient is φ = 3120871686912.

The previous prime is 10121110213309. The next prime is 10121110213349. The reversal of 10121110213332 is 23331201112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121110213299 and 10121110213308.

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 31 ways as a sum of consecutive naturals, for example, 32777968 + ... + 33085304.

It is an arithmetic number, because the mean of its divisors is an integer number (265048291200).

Almost surely, 2^{10121110213332} is an apocalyptic number.

10121110213332 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 10121110213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722317977600).

10121110213332 is an abundant number, since it is smaller than the sum of its proper divisors (15323525741868).

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

10121110213332 is a wasteful number, since it uses less digits than its factorization.

10121110213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310765 (or 310763 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10121110213332 its reverse (23331201112101), we get a palindrome (33452311325433).

The spelling of 10121110213332 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, two hundred thirteen thousand, three hundred thirty-two".