101100111101010 has 144 divisors (see below), whose sum is σ = 306035183157912. Its totient is φ = 23089028659200.

The previous prime is 101100111100931. The next prime is 101100111101023. The reversal of 101100111101010 is 10101111001101.

It can be written as a sum of positive squares in 4 ways, for example, as 101099425342041 + 685758969 = 10054821^2 + 26187^2 .

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 = 101100111100983 and 101100111101001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4497631 + ... + 14914050.

Almost surely, 2^{101100111101010} is an apocalyptic number.

101100111101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100111101010 is an abundant number, since it is smaller than the sum of its proper divisors (204935072056902).

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

101100111101010 is a wasteful number, since it uses less digits than its factorization.

101100111101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19412889 (or 19412879 counting only the distinct ones).

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

Adding to 101100111101010 its reverse (10101111001101), we get a palindrome (111201222102111).

Subtracting from 101100111101010 its reverse (10101111001101), we obtain a palindrome (90999000099909).

The spelling of 101100111101010 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred one thousand, ten".