101228383803456 has 4480 divisors, whose sum is σ = 419492250777600. Its totient is φ = 23878316851200.

The previous prime is 101228383803413. The next prime is 101228383803457. The reversal of 101228383803456 is 654308383822101.

101228383803456 is a `hidden beast` number, since 1 + 0 + 1 + 228 + 3 + 8 + 380 + 34 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101228383803457) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 982799842701 + ... + 982799842803.

It is an arithmetic number, because the mean of its divisors is an integer number (93636663120).

Almost surely, 2^{101228383803456} is an apocalyptic number.

101228383803456 is a gapful number since it is divisible by the number (16) 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 101228383803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209746125388800).

101228383803456 is an abundant number, since it is smaller than the sum of its proper divisors (318263866974144).

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

101228383803456 is a wasteful number, since it uses less digits than its factorization.

101228383803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 101228383803456 in words is "one hundred one trillion, two hundred twenty-eight billion, three hundred eighty-three million, eight hundred three thousand, four hundred fifty-six".