101100110100002 has 32 divisors (see below), whose sum is σ = 163696190242032. Its totient is φ = 46552843044864.

The previous prime is 101100110099969. The next prime is 101100110100007. The reversal of 101100110100002 is 200001011001101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13172900043601 + 87927210056401 = 3629449^2 + 9376951^2 .

It is not an unprimeable number, because it can be changed into a prime (101100110100007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1043759558 + ... + 1043856414.

Almost surely, 2^{101100110100002} is an apocalyptic number.

101100110100002 is a deficient number, since it is larger than the sum of its proper divisors (62596080142030).

101100110100002 is a wasteful number, since it uses less digits than its factorization.

101100110100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190022.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101100110100002 its reverse (200001011001101), we get a palindrome (301101121101103).

The spelling of 101100110100002 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, two".