101101110000048 has 120 divisors (see below), whose sum is σ = 285643398165840. Its totient is φ = 33379108761600.

The previous prime is 101101110000047. The next prime is 101101110000053. The reversal of 101101110000048 is 840000011101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101101110000047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21469668 + ... + 25751676.

It is an arithmetic number, because the mean of its divisors is an integer number (2380361651382).

Almost surely, 2^{101101110000048} is an apocalyptic number.

101101110000048 is a gapful number since it is divisible by the number (18) 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 101101110000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142821699082920).

101101110000048 is an abundant number, since it is smaller than the sum of its proper divisors (184542288165792).

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

101101110000048 is a wasteful number, since it uses less digits than its factorization.

101101110000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283587 (or 4283578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101101110000048 its reverse (840000011101101), we get a palindrome (941101121101149).

The spelling of 101101110000048 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, forty-eight", and thus it is an aban number.