100217798880 has 384 divisors, whose sum is σ = 343086202368. Its totient is φ = 24497160192.

The previous prime is 100217798839. The next prime is 100217798909. The reversal of 100217798880 is 88897712001.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 49440427 + ... + 49442453.

It is an arithmetic number, because the mean of its divisors is an integer number (893453652).

Almost surely, 2^100217798880 is an apocalyptic number.

100217798880 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 100217798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171543101184).

100217798880 is an abundant number, since it is smaller than the sum of its proper divisors (242868403488).

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

100217798880 is a wasteful number, since it uses less digits than its factorization.

100217798880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 51.

The spelling of 100217798880 in words is "one hundred billion, two hundred seventeen million, seven hundred ninety-eight thousand, eight hundred eighty".