10101110001100 has 108 divisors (see below), whose sum is σ = 23653022706880. Its totient is φ = 3740101833600.

The previous prime is 10101110001083. The next prime is 10101110001221. The reversal of 10101110001100 is 110001110101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1439895 + ... + 4719694.

Almost surely, 2^{10101110001100} is an apocalyptic number.

10101110001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101110001100 is an abundant number, since it is smaller than the sum of its proper divisors (13551912705780).

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

10101110001100 is a wasteful number, since it uses less digits than its factorization.

10101110001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159680 (or 6159650 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101110001100 its reverse (110001110101), we get a palindrome (10211111111201).

It can be divided in two parts, 10101110001 and 100, that added together give a palindrome (10101110101).

The spelling of 10101110001100 in words is "ten trillion, one hundred one billion, one hundred ten million, one thousand, one hundred".