101100000103100 has 72 divisors (see below), whose sum is σ = 221675190921408. Its totient is φ = 40018313318400.

The previous prime is 101100000103099. The next prime is 101100000103153. The reversal of 101100000103100 is 1301000001101.

It is a super-2 number, since 2×101100000103100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81162584 + ... + 82398816.

Almost surely, 2^{101100000103100} is an apocalyptic number.

101100000103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100000103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110837595460704).

101100000103100 is an abundant number, since it is smaller than the sum of its proper divisors (120575190818308).

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

101100000103100 is a wasteful number, since it uses less digits than its factorization.

101100000103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244775 (or 1244768 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101100000103100 its reverse (1301000001101), we get a palindrome (102401000104201).

The spelling of 101100000103100 in words is "one hundred one trillion, one hundred billion, one hundred three thousand, one hundred".