101228075464320 has 1280 divisors, whose sum is σ = 419875835258880. Its totient is φ = 22857423851520.

The previous prime is 101228075464249. The next prime is 101228075464331. The reversal of 101228075464320 is 23464570822101.

101228075464320 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 80 + 7 + 546 + 4 + 3 + 20 = 666.

It is a super-3 number, since 3×101228075464320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7318919805 + ... + 7318933635.

It is an arithmetic number, because the mean of its divisors is an integer number (328027996296).

Almost surely, 2^{101228075464320} is an apocalyptic number.

101228075464320 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 101228075464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209937917629440).

101228075464320 is an abundant number, since it is smaller than the sum of its proper divisors (318647759794560).

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

101228075464320 is an frugal number, since it uses more digits than its factorization.

101228075464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13967 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 101228075464320 in words is "one hundred one trillion, two hundred twenty-eight billion, seventy-five million, four hundred sixty-four thousand, three hundred twenty".