101050830720 has 448 divisors, whose sum is σ = 413951977440. Its totient is φ = 23096586240.

The previous prime is 101050830703. The next prime is 101050830767. The reversal of 101050830720 is 27038050101.

101050830720 is a `hidden beast` number, since 101 + 0 + 508 + 30 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×101050830720² (a number of 23 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3250450 + ... + 3281390.

Almost surely, 2^101050830720 is an apocalyptic number.

101050830720 is a gapful number since it is divisible by the number (10) 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 101050830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206975988720).

101050830720 is an abundant number, since it is smaller than the sum of its proper divisors (312901146720).

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

101050830720 is an frugal number, since it uses more digits than its factorization.

101050830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30985 (or 30958 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 101050830720 its reverse (27038050101), we get a palindrome (128088880821).

The spelling of 101050830720 in words is "one hundred one billion, fifty million, eight hundred thirty thousand, seven hundred twenty".