100000101010000 has 200 divisors, whose sum is σ = 252394789413888. Its totient is φ = 38326440000000.

The previous prime is 100000101009979. The next prime is 100000101010001. The reversal of 100000101010000 is 10101000001.

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 (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29713065 + ... + 32906935.

Almost surely, 2^{100000101010000} is an apocalyptic number.

100000101010000 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 100000101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126197394706944).

100000101010000 is an abundant number, since it is smaller than the sum of its proper divisors (152394688403888).

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

100000101010000 is a wasteful number, since it uses less digits than its factorization.

100000101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194031 (or 3194010 counting only the distinct ones).

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

Adding to 100000101010000 its reverse (10101000001), we get a palindrome (100010202010001).

Subtracting from 100000101010000 its reverse (10101000001), we obtain a palindrome (99990000009999).

The spelling of 100000101010000 in words is "one hundred trillion, one hundred one million, ten thousand".