205442002223100 has 90 divisors (see below), whose sum is σ = 665961808961064. Its totient is φ = 54784533924000.

The previous prime is 205442002223069. The next prime is 205442002223123. The reversal of 205442002223100 is 1322200244502.

205442002223100 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 420 + 0 + 2 + 2 + 231 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×205442002223100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12681596976 + ... + 12681613175.

Almost surely, 2^{205442002223100} is an apocalyptic number.

205442002223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205442002223100 is an abundant number, since it is smaller than the sum of its proper divisors (460519806737964).

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

205442002223100 is a wasteful number, since it uses less digits than its factorization.

205442002223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25363210177 (or 25363210161 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 205442002223100 its reverse (1322200244502), we get a palindrome (206764202467602).

The spelling of 205442002223100 in words is "two hundred five trillion, four hundred forty-two billion, two million, two hundred twenty-three thousand, one hundred".