100227765531264 has 1024 divisors, whose sum is σ = 325913230540800. Its totient is φ = 26694537707520.

The previous prime is 100227765531259. The next prime is 100227765531317. The reversal of 100227765531264 is 462135567722001.

It is a super-2 number, since 2×100227765531264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54979574257 + ... + 54979576079.

It is an arithmetic number, because the mean of its divisors is an integer number (318274639200).

Almost surely, 2^{100227765531264} is an apocalyptic number.

100227765531264 is a gapful number since it is divisible by the number (14) 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 100227765531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162956615270400).

100227765531264 is an abundant number, since it is smaller than the sum of its proper divisors (225685465009536).

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

100227765531264 is a wasteful number, since it uses less digits than its factorization.

100227765531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 100227765531264 in words is "one hundred trillion, two hundred twenty-seven billion, seven hundred sixty-five million, five hundred thirty-one thousand, two hundred sixty-four".