100110100010000 has 100 divisors (see below), whose sum is σ = 242381783001600. Its totient is φ = 40043177616000.

The previous prime is 100110100009891. The next prime is 100110100010003. The reversal of 100110100010000 is 10001011001.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (100110100010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 676716041 + ... + 676863959.

It is an arithmetic number, because the mean of its divisors is an integer number (2423817830016).

Almost surely, 2^{100110100010000} is an apocalyptic number.

100110100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110100010000 is an abundant number, since it is smaller than the sum of its proper divisors (142271682991600).

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

100110100010000 is an equidigital number, since it uses as much as digits as its factorization.

100110100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215626 (or 215605 counting only the distinct ones).

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

Adding to 100110100010000 its reverse (10001011001), we get a palindrome (100120101021001).

The spelling of 100110100010000 in words is "one hundred trillion, one hundred ten billion, one hundred million, ten thousand".