10013322121110 has 384 divisors, whose sum is σ = 32804489023488. Its totient is φ = 2058579360000.

The previous prime is 10013322121081. The next prime is 10013322121129. The reversal of 10013322121110 is 1112122331001.

10013322121110 is a `hidden beast` number, since 10 + 0 + 1 + 332 + 212 + 1 + 110 = 666.

It is a super-2 number, since 2×10013322121110² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 601356285 + ... + 601372935.

It is an arithmetic number, because the mean of its divisors is an integer number (85428356832).

Almost surely, 2^{10013322121110} is an apocalyptic number.

10013322121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013322121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402244511744).

10013322121110 is an abundant number, since it is smaller than the sum of its proper divisors (22791166902378).

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

10013322121110 is a wasteful number, since it uses less digits than its factorization.

10013322121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10013322121110 its reverse (1112122331001), we get a palindrome (11125444452111).

The spelling of 10013322121110 in words is "ten trillion, thirteen billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred ten".