205101120 has 224 divisors, whose sum is σ = 777166848. Its totient is φ = 44808192.

The previous prime is 205101109. The next prime is 205101133. The reversal of 205101120 is 21101502.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 205101096 and 205101105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153897 + ... + 155223.

Almost surely, 2^205101120 is an apocalyptic number.

205101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388583424).

205101120 is an abundant number, since it is smaller than the sum of its proper divisors (572065728).

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

205101120 is a wasteful number, since it uses less digits than its factorization.

205101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 205101120 is about 14321.3518914940. The cubic root of 205101120 is about 589.7337877821.

Adding to 205101120 its reverse (21101502), we get a palindrome (226202622).

The spelling of 205101120 in words is "two hundred five million, one hundred one thousand, one hundred twenty".