100010000111010 has 256 divisors, whose sum is σ = 275405188810752. Its totient is φ = 23028571238400.

The previous prime is 100010000110997. The next prime is 100010000111023. The reversal of 100010000111010 is 10111000010001.

100010000111010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100010000110997) and next prime (100010000111023).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100010000111010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84395505 + ... + 85572315.

It is an arithmetic number, because the mean of its divisors is an integer number (1075801518792).

Almost surely, 2^{100010000111010} is an apocalyptic number.

100010000111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010000111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137702594405376).

100010000111010 is an abundant number, since it is smaller than the sum of its proper divisors (175395188699742).

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

100010000111010 is a wasteful number, since it uses less digits than its factorization.

100010000111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177041.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010000111010 its reverse (10111000010001), we get a palindrome (110121000121011).

The spelling of 100010000111010 in words is "one hundred trillion, ten billion, one hundred eleven thousand, ten".