114146524412101 has 8 divisors (see below), whose sum is σ = 115786049042304. Its totient is φ = 112507883868240.

The previous prime is 114146524412077. The next prime is 114146524412117. The reversal of 114146524412101 is 101214425641411.

It is a happy number.

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 114146524412101 - 2¹¹ = 114146524410053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114146524412131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220761505 + ... + 221277958.

It is an arithmetic number, because the mean of its divisors is an integer number (14473256130288).

Almost surely, 2^{114146524412101} is an apocalyptic number.

It is an amenable number.

114146524412101 is a deficient number, since it is larger than the sum of its proper divisors (1639524630203).

114146524412101 is an equidigital number, since it uses as much as digits as its factorization.

114146524412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442043171.

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 114146524412101 in words is "one hundred fourteen trillion, one hundred forty-six billion, five hundred twenty-four million, four hundred twelve thousand, one hundred one".