11122103301000 has 256 divisors, whose sum is σ = 34846325280000. Its totient is φ = 2953494835200.

The previous prime is 11122103300983. The next prime is 11122103301017. The reversal of 11122103301000 is 10330122111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11122103300983) and next prime (11122103301017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769741776 + ... + 769756224.

It is an arithmetic number, because the mean of its divisors is an integer number (136118458125).

Almost surely, 2^{11122103301000} is an apocalyptic number.

11122103301000 is a gapful number since it is divisible by the number (10) 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 11122103301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17423162640000).

11122103301000 is an abundant number, since it is smaller than the sum of its proper divisors (23724221979000).

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

11122103301000 is a wasteful number, since it uses less digits than its factorization.

11122103301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15515 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11122103301000 its reverse (10330122111), we get a palindrome (11132433423111).

The spelling of 11122103301000 in words is "eleven trillion, one hundred twenty-two billion, one hundred three million, three hundred one thousand".