100101120000 has 1120 divisors, whose sum is σ = 409443936000. Its totient is φ = 21676032000.

The previous prime is 100101119969. The next prime is 100101120047. The reversal of 100101120000 is 21101001.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5268479991 + ... + 5268480009.

Almost surely, 2^100101120000 is an apocalyptic number.

100101120000 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 100101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204721968000).

100101120000 is an abundant number, since it is smaller than the sum of its proper divisors (309342816000).

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

100101120000 is an frugal number, since it uses more digits than its factorization.

100101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100101120000 its reverse (21101001), we get a palindrome (100122221001).

The spelling of 100101120000 in words is "one hundred billion, one hundred one million, one hundred twenty thousand".