100010001101010 has 512 divisors, whose sum is σ = 333586601607168. Its totient is φ = 18517296107520.

The previous prime is 100010001100991. The next prime is 100010001101011. The reversal of 100010001101010 is 10101100010001.

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 100010001101010.

It is not an unprimeable number, because it can be changed into a prime (100010001101011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 140756604 + ... + 141465336.

It is an arithmetic number, because the mean of its divisors is an integer number (651536331264).

Almost surely, 2^{100010001101010} is an apocalyptic number.

100010001101010 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 100010001101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166793300803584).

100010001101010 is an abundant number, since it is smaller than the sum of its proper divisors (233576600506158).

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

100010001101010 is a wasteful number, since it uses less digits than its factorization.

100010001101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708938.

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

Adding to 100010001101010 its reverse (10101100010001), we get a palindrome (110111101111011).

The spelling of 100010001101010 in words is "one hundred trillion, ten billion, one million, one hundred one thousand, ten".