101101111111010 has 32 divisors (see below), whose sum is σ = 185438473407792. Its totient is φ = 39672527315200.

The previous prime is 101101111110991. The next prime is 101101111111061. The reversal of 101101111111010 is 10111111101101.

101101111111010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 62579190311401 + 38521920799609 = 7910701^2 + 6206603^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101101111110982 and 101101111111000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7448441 + ... + 16052460.

Almost surely, 2^{101101111111010} is an apocalyptic number.

101101111111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101111111010 is a deficient number, since it is larger than the sum of its proper divisors (84337362296782).

101101111111010 is a wasteful number, since it uses less digits than its factorization.

101101111111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23509078.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101101111111010 its reverse (10111111101101), we get a palindrome (111212222212111).

Subtracting from 101101111111010 its reverse (10111111101101), we obtain a palindrome (90990000009909).

It can be divided in two parts, 101101 and 111111010, that added together give a palindrome (111212111).

The spelling of 101101111111010 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, ten".