101051430480 has 960 divisors, whose sum is σ = 459195609600. Its totient is φ = 19231948800.

The previous prime is 101051430463. The next prime is 101051430533. The reversal of 101051430480 is 84034150101.

It is a happy number.

101051430480 is a `hidden beast` number, since 101 + 0 + 51 + 4 + 30 + 480 = 666.

It is a super-2 number, since 2×101051430480² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 107386810 + ... + 107387750.

It is an arithmetic number, because the mean of its divisors is an integer number (478328760).

Almost surely, 2^101051430480 is an apocalyptic number.

101051430480 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 101051430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229597804800).

101051430480 is an abundant number, since it is smaller than the sum of its proper divisors (358144179120).

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

101051430480 is a wasteful number, since it uses less digits than its factorization.

101051430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101051430480 its reverse (84034150101), we get a palindrome (185085580581).

The spelling of 101051430480 in words is "one hundred one billion, fifty-one million, four hundred thirty thousand, four hundred eighty".