100010000000000 has 484 divisors, whose sum is σ = 255175336570884. Its totient is φ = 39168000000000.

The previous prime is 100009999999997. The next prime is 100010000000077. The reversal of 100010000000000 is 10001.

It can be written as a sum of positive squares in 22 ways, for example, as 34867796770816 + 65142203229184 = 5904896^2 + 8071072^2 .

It is a sliding number, since 100010000000000 = 10000000000 + 100000000000000 and 1/10000000000 + 1/100000000000000 = 0.000000000100010000000000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 729999999932 + ... + 730000000068.

Almost surely, 2^{100010000000000} is an apocalyptic number.

100010000000000 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 100010000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127587668285442).

100010000000000 is an abundant number, since it is smaller than the sum of its proper divisors (155165336570884).

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

100010000000000 is an frugal number, since it uses more digits than its factorization.

100010000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 100010000000000 its reverse (10001), we get a palindrome (100010000010001).

100010000000000 divided by its reverse (10001) gives a 10-th power (10000000000 = 10¹⁰).

The spelling of 100010000000000 in words is "one hundred trillion, ten billion", and thus it is an aban number.