112011121001 has 8 divisors (see below), whose sum is σ = 123569492424. Its totient is φ = 100873054080.

The previous prime is 112011120959. The next prime is 112011121003. The reversal of 112011121001 is 100121110211.

It can be written as a sum of positive squares in 4 ways, for example, as 94109401 + 111917011600 = 9701^2 + 334540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112011121001 - 2²² = 112006926697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112011121003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105075566 + ... + 105076631.

It is an arithmetic number, because the mean of its divisors is an integer number (15446186553).

Almost surely, 2^112011121001 is an apocalyptic number.

It is an amenable number.

112011121001 is a deficient number, since it is larger than the sum of its proper divisors (11558371423).

112011121001 is a wasteful number, since it uses less digits than its factorization.

112011121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210152251.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112011121001 its reverse (100121110211), we get a palindrome (212132231212).

The spelling of 112011121001 in words is "one hundred twelve billion, eleven million, one hundred twenty-one thousand, one".