101101111000010 has 64 divisors (see below), whose sum is σ = 200518145136000. Its totient is φ = 36395187936000.

The previous prime is 101101110999979. The next prime is 101101111000039. The reversal of 101101111000010 is 10000111101101.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83266661 + ... + 84472119.

It is an arithmetic number, because the mean of its divisors is an integer number (3133096017750).

Almost surely, 2^{101101111000010} is an apocalyptic number.

101101111000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101111000010 is a deficient number, since it is larger than the sum of its proper divisors (99417034135990).

101101111000010 is a wasteful number, since it uses less digits than its factorization.

101101111000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213127.

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

Adding to 101101111000010 its reverse (10000111101101), we get a palindrome (111101222101111).

It can be divided in two parts, 1011011 and 11000010, that added together give a palindrome (12011021).

The spelling of 101101111000010 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, ten", and thus it is an aban number.