100110010000000 has 2048 divisors, whose sum is σ = 341782000035840. Its totient is φ = 28200960000000.

The previous prime is 100110009999953. The next prime is 100110010000009. The reversal of 100110010000000 is 10011001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (100110010000009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 730729999932 + ... + 730730000068.

It is an arithmetic number, because the mean of its divisors is an integer number (166885742205).

Almost surely, 2^{100110010000000} is an apocalyptic number.

100110010000000 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 100110010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170891000017920).

100110010000000 is an abundant number, since it is smaller than the sum of its proper divisors (241671990035840).

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

100110010000000 is an frugal number, since it uses more digits than its factorization.

100110010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100110010000000 its reverse (10011001), we get a palindrome (100110020011001).

100110010000000 divided by its reverse (10011001) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 1001 and 10010000000, that added together give a palindrome (10010001001).

The spelling of 100110010000000 in words is "one hundred trillion, one hundred ten billion, ten million", and thus it is an aban number.