112101011000001 has 6 divisors (see below), whose sum is σ = 161923682555570. Its totient is φ = 74734007333328.

The previous prime is 112101010999919. The next prime is 112101011000071. The reversal of 112101011000001 is 100000110101211.

It can be written as a sum of positive squares in only one way, i.e., 64270300799376 + 47830710200625 = 8016876^2 + 6915975^2 .

It is not a de Polignac number, because 112101011000001 - 2²⁹ = 112100474129089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12455667888889 = 112101011000001 / (1 + 1 + 2 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112101011000071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6227833944436 + ... + 6227833944453.

Almost surely, 2^{112101011000001} is an apocalyptic number.

It is an amenable number.

112101011000001 is a deficient number, since it is larger than the sum of its proper divisors (49822671555569).

112101011000001 is a wasteful number, since it uses less digits than its factorization.

112101011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12455667888895 (or 12455667888892 counting only the distinct ones).

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

Adding to 112101011000001 its reverse (100000110101211), we get a palindrome (212101121101212).

The spelling of 112101011000001 in words is "one hundred twelve trillion, one hundred one billion, eleven million, one", and thus it is an aban number.