100101100010000 has 200 divisors, whose sum is σ = 242896315173600. Its totient is φ = 39951066240000.

The previous prime is 100101100009973. The next prime is 100101100010089. The reversal of 100101100010000 is 10001101001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10081685036 + ... + 10081694964.

It is an arithmetic number, because the mean of its divisors is an integer number (1214481575868).

Almost surely, 2^{100101100010000} is an apocalyptic number.

100101100010000 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 100101100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121448157586800).

100101100010000 is an abundant number, since it is smaller than the sum of its proper divisors (142795215163600).

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

100101100010000 is an equidigital number, since it uses as much as digits as its factorization.

100101100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100101100010000 its reverse (10001101001), we get a palindrome (100111101111001).

The spelling of 100101100010000 in words is "one hundred trillion, one hundred one billion, one hundred million, ten thousand".