101100550505100 has 144 divisors (see below), whose sum is σ = 298323691061760. Its totient is φ = 26426001888000.

The previous prime is 101100550505099. The next prime is 101100550505147. The reversal of 101100550505100 is 1505055001101.

101100550505100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13460175 + ... + 19580025.

It is an arithmetic number, because the mean of its divisors is an integer number (2071692299040).

Almost surely, 2^{101100550505100} is an apocalyptic number.

101100550505100 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 101100550505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149161845530880).

101100550505100 is an abundant number, since it is smaller than the sum of its proper divisors (197223140556660).

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

101100550505100 is a wasteful number, since it uses less digits than its factorization.

101100550505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120960 (or 6120953 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 101100550505100 in words is "one hundred one trillion, one hundred billion, five hundred fifty million, five hundred five thousand, one hundred".