101000111101000 has 128 divisors (see below), whose sum is σ = 242021048256000. Its totient is φ = 39440461632000.

The previous prime is 101000111100971. The next prime is 101000111101003. The reversal of 101000111101000 is 101111000101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101000111101003) 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, 151486 + ... + 14213485.

It is an arithmetic number, because the mean of its divisors is an integer number (1890789439500).

Almost surely, 2^{101000111101000} is an apocalyptic number.

101000111101000 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 101000111101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121010524128000).

101000111101000 is an abundant number, since it is smaller than the sum of its proper divisors (141020937155000).

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

101000111101000 is a wasteful number, since it uses less digits than its factorization.

101000111101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14365160 (or 14365146 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101000111101000 its reverse (101111000101), we get a palindrome (101101222101101).

The spelling of 101000111101000 in words is "one hundred one trillion, one hundred eleven million, one hundred one thousand".