10111101010010 has 512 divisors, whose sum is σ = 25813552988160. Its totient is φ = 2750126515200.

The previous prime is 10111101010009. The next prime is 10111101010057. The reversal of 10111101010010 is 1001010111101.

It is a self number, because there is not a number n which added to its sum of digits gives 10111101010010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3057482777 + ... + 3057486083.

It is an arithmetic number, because the mean of its divisors is an integer number (50417095680).

Almost surely, 2^{10111101010010} is an apocalyptic number.

10111101010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111101010010 is an abundant number, since it is smaller than the sum of its proper divisors (15702451978150).

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

10111101010010 is a wasteful number, since it uses less digits than its factorization.

10111101010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10111101010010 its reverse (1001010111101), we get a palindrome (11112111121111).

It can be divided in two parts, 101 and 11101010010, that added together give a palindrome (11101010111).

The spelling of 10111101010010 in words is "ten trillion, one hundred eleven billion, one hundred one million, ten thousand, ten".