101101111111000 has 1024 divisors, whose sum is σ = 337538945802240. Its totient is φ = 27278254080000.

The previous prime is 101101111110991. The next prime is 101101111111061. The reversal of 101101111111000 is 111111101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4781766429 + ... + 4781787571.

It is an arithmetic number, because the mean of its divisors is an integer number (329627876760).

Almost surely, 2^{101101111111000} is an apocalyptic number.

101101111111000 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 101101111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168769472901120).

101101111111000 is an abundant number, since it is smaller than the sum of its proper divisors (236437834691240).

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

101101111111000 is a wasteful number, since it uses less digits than its factorization.

101101111111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21493 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101101111111000 its reverse (111111101101), we get a palindrome (101212222212101).

It can be divided in two parts, 101 and 101111111000, that added together give a palindrome (101111111101).

The spelling of 101101111111000 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand".