11121000103024 has 120 divisors (see below), whose sum is σ = 27097087914960. Its totient is φ = 4393258103808.

The previous prime is 11121000103009. The next prime is 11121000103049. The reversal of 11121000103024 is 42030100012111.

It is a super-2 number, since 2×11121000103024² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11121000102989 and 11121000103007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9537717 + ... + 10640020.

It is an arithmetic number, because the mean of its divisors is an integer number (225809065958).

Almost surely, 2^{11121000103024} is an apocalyptic number.

11121000103024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11121000103024 is an abundant number, since it is smaller than the sum of its proper divisors (15976087811936).

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

11121000103024 is a wasteful number, since it uses less digits than its factorization.

11121000103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177815 (or 20177802 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11121000103024 its reverse (42030100012111), we get a palindrome (53151100115135).

The spelling of 11121000103024 in words is "eleven trillion, one hundred twenty-one billion, one hundred three thousand, twenty-four".