101001101111100 has 216 divisors, whose sum is σ = 333699241169840. Its totient is φ = 25481254026240.

The previous prime is 101001101111051. The next prime is 101001101111231. The reversal of 101001101111100 is 1111101100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8505312 + ... + 16563288.

Almost surely, 2^{101001101111100} is an apocalyptic number.

101001101111100 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 101001101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166849620584920).

101001101111100 is an abundant number, since it is smaller than the sum of its proper divisors (232698140058740).

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

101001101111100 is a wasteful number, since it uses less digits than its factorization.

101001101111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058749 (or 8058739 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101001101111100 its reverse (1111101100101), we get a palindrome (102112202211201).

It can be divided in two parts, 101001 and 101111100, that added together give a palindrome (101212101).

The spelling of 101001101111100 in words is "one hundred one trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred".