100001111111010 has 192 divisors, whose sum is σ = 267460798366944. Its totient is φ = 25904406528000.

The previous prime is 100001111111003. The next prime is 100001111111021. The reversal of 100001111111010 is 10111111100001.

It can be written as a sum of positive squares in 16 ways, for example, as 28542103235361 + 71459007875649 = 5342481^2 + 8453343^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001111110983 and 100001111111001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6493149310 + ... + 6493164710.

Almost surely, 2^{100001111111010} is an apocalyptic number.

100001111111010 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 100001111111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133730399183472).

100001111111010 is an abundant number, since it is smaller than the sum of its proper divisors (167459687255934).

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

100001111111010 is a wasteful number, since it uses less digits than its factorization.

100001111111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18469 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100001111111010 its reverse (10111111100001), we get a palindrome (110112222211011).

The spelling of 100001111111010 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred eleven thousand, ten".