101100011010100 has 18 divisors (see below), whose sum is σ = 219387023892134. Its totient is φ = 40440004404000.

The previous prime is 101100011010041. The next prime is 101100011010109. The reversal of 101100011010100 is 1010110001101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1311858692496 + 99788152317604 = 1145364^2 + 9989402^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100011010109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505500054951 + ... + 505500055150.

Almost surely, 2^{101100011010100} is an apocalyptic number.

101100011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100011010100 is an abundant number, since it is smaller than the sum of its proper divisors (118287012882034).

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

101100011010100 is a wasteful number, since it uses less digits than its factorization.

101100011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011000110115 (or 1011000110108 counting only the distinct ones).

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

Adding to 101100011010100 its reverse (1010110001101), we get a palindrome (102110121011201).

The spelling of 101100011010100 in words is "one hundred one trillion, one hundred billion, eleven million, ten thousand, one hundred".