101101100000288 has 12 divisors (see below), whose sum is σ = 199042790625630. Its totient is φ = 50550550000128.

The previous prime is 101101100000287. The next prime is 101101100000347. The reversal of 101101100000288 is 882000001101101.

It can be written as a sum of positive squares in only one way, i.e., 55895540174224 + 45205559826064 = 7476332^2 + 6723508^2 .

It is not an unprimeable number, because it can be changed into a prime (101101100000287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1579704687473 + ... + 1579704687536.

Almost surely, 2^{101101100000288} is an apocalyptic number.

It is an amenable number.

101101100000288 is a deficient number, since it is larger than the sum of its proper divisors (97941690625342).

101101100000288 is an equidigital number, since it uses as much as digits as its factorization.

101101100000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159409375019 (or 3159409375011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 101101100000288 its reverse (882000001101101), we get a palindrome (983101101101389).

The spelling of 101101100000288 in words is "one hundred one trillion, one hundred one billion, one hundred million, two hundred eighty-eight", and thus it is an aban number.