11300122102332 has 96 divisors (see below), whose sum is σ = 30319349760000. Its totient is φ = 3208759250112.

The previous prime is 11300122102307. The next prime is 11300122102349. The reversal of 11300122102332 is 23320122100311.

It is a super-2 number, since 2×11300122102332² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11300122102299 and 11300122102308.

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, 10716919 + ... + 11724017.

It is an arithmetic number, because the mean of its divisors is an integer number (315826560000).

Almost surely, 2^{11300122102332} is an apocalyptic number.

11300122102332 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 11300122102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159674880000).

11300122102332 is an abundant number, since it is smaller than the sum of its proper divisors (19019227657668).

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

11300122102332 is a wasteful number, since it uses less digits than its factorization.

11300122102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007935 (or 1007933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11300122102332 its reverse (23320122100311), we get a palindrome (34620244202643).

The spelling of 11300122102332 in words is "eleven trillion, three hundred billion, one hundred twenty-two million, one hundred two thousand, three hundred thirty-two".