112100100101001 has 48 divisors (see below), whose sum is σ = 174209180169024. Its totient is φ = 69206652675072.

The previous prime is 112100100100999. The next prime is 112100100101009. The reversal of 112100100101001 is 100101001001211.

It is not a de Polignac number, because 112100100101001 - 2¹ = 112100100100999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112100100101009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2404986 + ... + 15165228.

It is an arithmetic number, because the mean of its divisors is an integer number (3629357920188).

Almost surely, 2^{112100100101001} is an apocalyptic number.

It is an amenable number.

112100100101001 is a deficient number, since it is larger than the sum of its proper divisors (62109080068023).

112100100101001 is a wasteful number, since it uses less digits than its factorization.

112100100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761190 (or 12761187 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 112100100101001 its reverse (100101001001211), we get a palindrome (212201101102212).

The spelling of 112100100101001 in words is "one hundred twelve trillion, one hundred billion, one hundred million, one hundred one thousand, one".