11112121112001 has 192 divisors, whose sum is σ = 20070161049600. Its totient is φ = 5333409349632.

The previous prime is 11112121111981. The next prime is 11112121112021. The reversal of 11112121112001 is 10021112121111.

It is an interprime number because it is at equal distance from previous prime (11112121111981) and next prime (11112121112021).

It is not a de Polignac number, because 11112121112001 - 2⁷ = 11112121111873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11112121112021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 377396586 + ... + 377426028.

It is an arithmetic number, because the mean of its divisors is an integer number (104532088800).

Almost surely, 2^{11112121112001} is an apocalyptic number.

It is an amenable number.

11112121112001 is a deficient number, since it is larger than the sum of its proper divisors (8958039937599).

11112121112001 is a wasteful number, since it uses less digits than its factorization.

11112121112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29720 (or 29707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11112121112001 its reverse (10021112121111), we get a palindrome (21133233233112).

The spelling of 11112121112001 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, one".