101901300480 has 576 divisors, whose sum is σ = 415013760000. Its totient is φ = 23193354240.

The previous prime is 101901300419. The next prime is 101901300497. The reversal of 101901300480 is 84003109101.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×101901300480³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67978771 + ... + 67980269.

It is an arithmetic number, because the mean of its divisors is an integer number (720510000).

Almost surely, 2^101901300480 is an apocalyptic number.

101901300480 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 101901300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207506880000).

101901300480 is an abundant number, since it is smaller than the sum of its proper divisors (313112459520).

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

101901300480 is a wasteful number, since it uses less digits than its factorization.

101901300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 101901300480 its reverse (84003109101), we get a palindrome (185904409581).

The spelling of 101901300480 in words is "one hundred one billion, nine hundred one million, three hundred thousand, four hundred eighty".