10001101010010 has 128 divisors (see below), whose sum is σ = 26251469798400. Its totient is φ = 2418329779200.

The previous prime is 10001101009967. The next prime is 10001101010023. The reversal of 10001101010010 is 1001010110001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100105565 + ... + 1100114655.

It is an arithmetic number, because the mean of its divisors is an integer number (205089607800).

Almost surely, 2^{10001101010010} is an apocalyptic number.

10001101010010 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 10001101010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125734899200).

10001101010010 is an abundant number, since it is smaller than the sum of its proper divisors (16250368788390).

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

10001101010010 is a wasteful number, since it uses less digits than its factorization.

10001101010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244.

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

Adding to 10001101010010 its reverse (1001010110001), we get a palindrome (11002111120011).

Subtracting from 10001101010010 its reverse (1001010110001), we obtain a palindrome (9000090900009).

The spelling of 10001101010010 in words is "ten trillion, one billion, one hundred one million, ten thousand, ten".