11111002001121 has 128 divisors (see below), whose sum is σ = 17786909491200. Its totient is φ = 6099006355200.

The previous prime is 11111002001117. The next prime is 11111002001137. The reversal of 11111002001121 is 12110020011111.

It is not a de Polignac number, because 11111002001121 - 2² = 11111002001117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11111002001097 and 11111002001106.

It is not an unprimeable number, because it can be changed into a prime (11111002001521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234866356 + ... + 234913658.

It is an arithmetic number, because the mean of its divisors is an integer number (138960230400).

Almost surely, 2^{11111002001121} is an apocalyptic number.

11111002001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111002001121 is a deficient number, since it is larger than the sum of its proper divisors (6675907490079).

11111002001121 is a wasteful number, since it uses less digits than its factorization.

11111002001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47587.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111002001121 its reverse (12110020011111), we get a palindrome (23221022012232).

The spelling of 11111002001121 in words is "eleven trillion, one hundred eleven billion, two million, one thousand, one hundred twenty-one".