101101100000128 has 128 divisors (see below), whose sum is σ = 212387385450240. Its totient is φ = 47882223513600.

The previous prime is 101101100000093. The next prime is 101101100000129. The reversal of 101101100000128 is 821000001101101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100000129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36344523 + ... + 39027253.

It is an arithmetic number, because the mean of its divisors is an integer number (1659276448830).

Almost surely, 2^{101101100000128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101100000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106193692725120).

101101100000128 is an abundant number, since it is smaller than the sum of its proper divisors (111286285450112).

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

101101100000128 is a wasteful number, since it uses less digits than its factorization.

101101100000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682996 (or 2682984 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101101100000128 its reverse (821000001101101), we get a palindrome (922101101101229).

The spelling of 101101100000128 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred twenty-eight", and thus it is an aban number.