116771014101001 has 32 divisors (see below), whose sum is σ = 131350114812672. Its totient is φ = 103000693635840.

The previous prime is 116771014100959. The next prime is 116771014101127. The reversal of 116771014101001 is 100101410177611.

It is not a de Polignac number, because 116771014101001 - 2³⁵ = 116736654362633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116771014191001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3773974191 + ... + 3774005131.

It is an arithmetic number, because the mean of its divisors is an integer number (4104691087896).

Almost surely, 2^{116771014101001} is an apocalyptic number.

It is an amenable number.

116771014101001 is a deficient number, since it is larger than the sum of its proper divisors (14579100711671).

116771014101001 is a wasteful number, since it uses less digits than its factorization.

116771014101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42993.

The product of its (nonzero) digits is 1176, while the sum is 31.

Adding to 116771014101001 its reverse (100101410177611), we get a palindrome (216872424278612).

The spelling of 116771014101001 in words is "one hundred sixteen trillion, seven hundred seventy-one billion, fourteen million, one hundred one thousand, one".