101771834084253 has 6 divisors (see below), whose sum is σ = 147003760343934. Its totient is φ = 67847889389496.

The previous prime is 101771834084213. The next prime is 101771834084269. The reversal of 101771834084253 is 352480438177101.

101771834084253 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 7 + 183 + 408 + 4 + 2 + 53 = 666.

101771834084253 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53161334957124 + 48610499127129 = 7291182^2 + 6972123^2 .

It is not a de Polignac number, because 101771834084253 - 2³⁰ = 101770760342429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101771834084253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101771834084213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5653990782450 + ... + 5653990782467.

It is an arithmetic number, because the mean of its divisors is an integer number (24500626723989).

Almost surely, 2^{101771834084253} is an apocalyptic number.

It is an amenable number.

101771834084253 is a deficient number, since it is larger than the sum of its proper divisors (45231926259681).

101771834084253 is a wasteful number, since it uses less digits than its factorization.

101771834084253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307981564923 (or 11307981564920 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 101771834084253 in words is "one hundred one trillion, seven hundred seventy-one billion, eight hundred thirty-four million, eighty-four thousand, two hundred fifty-three".