100017120000 has 1080 divisors, whose sum is σ = 407749678336. Its totient is φ = 21307392000.

The previous prime is 100017119989. The next prime is 100017120019. The reversal of 100017120000 is 21710001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 971039949 + ... + 971040051.

Almost surely, 2^100017120000 is an apocalyptic number.

100017120000 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 100017120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203874839168).

100017120000 is an abundant number, since it is smaller than the sum of its proper divisors (307732558336).

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

100017120000 is an equidigital number, since it uses as much as digits as its factorization.

100017120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

Adding to 100017120000 its reverse (21710001), we get a palindrome (100038830001).

The spelling of 100017120000 in words is "one hundred billion, seventeen million, one hundred twenty thousand".