205102101157122 has 96 divisors (see below), whose sum is σ = 445619392033536. Its totient is φ = 62904958084800.

The previous prime is 205102101157091. The next prime is 205102101157153. The reversal of 205102101157122 is 221751101201502.

It is an interprime number because it is at equal distance from previous prime (205102101157091) and next prime (205102101157153).

It is a self number, because there is not a number n which added to its sum of digits gives 205102101157122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394219497 + ... + 394739427.

It is an arithmetic number, because the mean of its divisors is an integer number (4641868667016).

Almost surely, 2^{205102101157122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205102101157122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222809696016768).

205102101157122 is an abundant number, since it is smaller than the sum of its proper divisors (240517290876414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205102101157122 is a wasteful number, since it uses less digits than its factorization.

205102101157122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521216 (or 521203 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

Adding to 205102101157122 its reverse (221751101201502), we get a palindrome (426853202358624).

The spelling of 205102101157122 in words is "two hundred five trillion, one hundred two billion, one hundred one million, one hundred fifty-seven thousand, one hundred twenty-two".