112142001010401 has 24 divisors (see below), whose sum is σ = 169499689468200. Its totient is φ = 71368290279936.

The previous prime is 112142001010357. The next prime is 112142001010423. The reversal of 112142001010401 is 104010100241211.

112142001010401 is a `hidden beast` number, since 1 + 121 + 42 + 0 + 0 + 101 + 0 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16447120805025 + 95694880205376 = 4055505^2 + 9782376^2 .

It is not a de Polignac number, because 112142001010401 - 2⁶ = 112142001010337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112142001010451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3176989576 + ... + 3177024873.

It is an arithmetic number, because the mean of its divisors is an integer number (7062487061175).

Almost surely, 2^{112142001010401} is an apocalyptic number.

It is an amenable number.

112142001010401 is a deficient number, since it is larger than the sum of its proper divisors (57357688457799).

112142001010401 is a wasteful number, since it uses less digits than its factorization.

112142001010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354014545 (or 6354014542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112142001010401 its reverse (104010100241211), we get a palindrome (216152101251612).

The spelling of 112142001010401 in words is "one hundred twelve trillion, one hundred forty-two billion, one million, ten thousand, four hundred one".