114224152310101 has 2 divisors, whose sum is σ = 114224152310102. Its totient is φ = 114224152310100.

The previous prime is 114224152310087. The next prime is 114224152310119. The reversal of 114224152310101 is 101013251422411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93401129909476 + 20823022400625 = 9664426^2 + 4563225^2 .

It is a cyclic number.

It is not a de Polignac number, because 114224152310101 - 2²³ = 114224143921493 is a prime.

It is a super-2 number, since 2×114224152310101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114224152310101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114224152310131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57112076155050 + 57112076155051.

It is an arithmetic number, because the mean of its divisors is an integer number (57112076155051).

Almost surely, 2^{114224152310101} is an apocalyptic number.

It is an amenable number.

114224152310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114224152310101 is an equidigital number, since it uses as much as digits as its factorization.

114224152310101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 114224152310101 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred fifty-two million, three hundred ten thousand, one hundred one".