100010110010000 has 50 divisors (see below), whose sum is σ = 242134477369422. Its totient is φ = 40004044000000.

The previous prime is 100010110009993. The next prime is 100010110010009. The reversal of 100010110010000 is 10011010001.

100010110010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 73184671478416 + 26825438531584 = 8554804^2 + 5179328^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 (100010110010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5000495501 + ... + 5000515500.

Almost surely, 2^{100010110010000} is an apocalyptic number.

100010110010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010110010000 is an abundant number, since it is smaller than the sum of its proper divisors (142124367359422).

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

100010110010000 is an equidigital number, since it uses as much as digits as its factorization.

100010110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001011029 (or 10001011008 counting only the distinct ones).

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

Adding to 100010110010000 its reverse (10011010001), we get a palindrome (100020121020001).

The spelling of 100010110010000 in words is "one hundred trillion, ten billion, one hundred ten million, ten thousand".