10111101110010 has 96 divisors (see below), whose sum is σ = 27837227435472. Its totient is φ = 2537509355520.

The previous prime is 10111101109937. The next prime is 10111101110021. The reversal of 10111101110010 is 1001110111101.

It can be written as a sum of positive squares in 8 ways, for example, as 9449297708841 + 661803401169 = 3073971^2 + 813513^2 .

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 = 10111101109974 and 10111101110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22199770 + ... + 22650650.

Almost surely, 2^{10111101110010} is an apocalyptic number.

10111101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111101110010 is an abundant number, since it is smaller than the sum of its proper divisors (17726126325462).

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

10111101110010 is a wasteful number, since it uses less digits than its factorization.

10111101110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465568 (or 465565 counting only the distinct ones).

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

Adding to 10111101110010 its reverse (1001110111101), we get a palindrome (11112211221111).

It can be divided in two parts, 101 and 11101110010, that added together give a palindrome (11101110111).

The spelling of 10111101110010 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred ten thousand, ten".