101331122111100 has 324 divisors, whose sum is σ = 370354436033400. Its totient is φ = 23106117323520.

The previous prime is 101331122111029. The next prime is 101331122111101. The reversal of 101331122111100 is 1111221133101.

101331122111100 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 1 + 221 + 1 + 110 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331122111101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15735946 + ... + 21219854.

Almost surely, 2^{101331122111100} is an apocalyptic number.

101331122111100 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 101331122111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185177218016700).

101331122111100 is an abundant number, since it is smaller than the sum of its proper divisors (269023313922300).

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

101331122111100 is a wasteful number, since it uses less digits than its factorization.

101331122111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484362 (or 5484345 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101331122111100 its reverse (1111221133101), we get a palindrome (102442343244201).

The spelling of 101331122111100 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".