101101101000 has 128 divisors (see below), whose sum is σ = 318559512960. Its totient is φ = 26693280000.

The previous prime is 101101100983. The next prime is 101101101007. The reversal of 101101101000 is 101101101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101101101000.

It is not an unprimeable number, because it can be changed into a prime (101101101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136167 + ... + 469833.

It is an arithmetic number, because the mean of its divisors is an integer number (2488746195).

Almost surely, 2^101101101000 is an apocalyptic number.

101101101000 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 101101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159279756480).

101101101000 is an abundant number, since it is smaller than the sum of its proper divisors (217458411960).

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

101101101000 is a wasteful number, since it uses less digits than its factorization.

101101101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333792 (or 333778 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101101101000 its reverse (101101101), we get a palindrome (101202202101).

101101101000 divided by its reverse (101101101) gives a cube (1000 = 10³).

It can be divided in two parts, 101 and 101101000, that added together give a palindrome (101101101).

The spelling of 101101101000 in words is "one hundred one billion, one hundred one million, one hundred one thousand".