101114114514253 has 8 divisors (see below), whose sum is σ = 103149272820600. Its totient is φ = 99083672683008.

The previous prime is 101114114514239. The next prime is 101114114514263. The reversal of 101114114514253 is 352415411411101.

It can be written as a sum of positive squares in 4 ways, for example, as 68451083549289 + 32663030964964 = 8273517^2 + 5715158^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101114114514253 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 (101114114514263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179075468 + ... + 1179161221.

It is an arithmetic number, because the mean of its divisors is an integer number (12893659102575).

Almost surely, 2^{101114114514253} is an apocalyptic number.

It is an amenable number.

101114114514253 is a deficient number, since it is larger than the sum of its proper divisors (2035158306347).

101114114514253 is an equidigital number, since it uses as much as digits as its factorization.

101114114514253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358237551.

The product of its (nonzero) digits is 9600, while the sum is 34.

Adding to 101114114514253 its reverse (352415411411101), we get a palindrome (453529525925354).

The spelling of 101114114514253 in words is "one hundred one trillion, one hundred fourteen billion, one hundred fourteen million, five hundred fourteen thousand, two hundred fifty-three".