114101641 has 2 divisors, whose sum is σ = 114101642. Its totient is φ = 114101640.

The previous prime is 114101591. The next prime is 114101657. The reversal of 114101641 is 146101411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 8094025 = 10296^2 + 2845^2 .

It is a cyclic number.

It is not a de Polignac number, because 114101641 - 2⁷ = 114101513 is a prime.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not a weakly prime, because it can be changed into another prime (114102641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57050820 + 57050821.

It is an arithmetic number, because the mean of its divisors is an integer number (57050821).

Almost surely, 2^114101641 is an apocalyptic number.

It is an amenable number.

114101641 is a deficient number, since it is larger than the sum of its proper divisors (1).

114101641 is an equidigital number, since it uses as much as digits as its factorization.

114101641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 114101641 is about 10681.8369674883. The cubic root of 114101641 is about 485.0248203545.

The spelling of 114101641 in words is "one hundred fourteen million, one hundred one thousand, six hundred forty-one".