101331332100 has 180 divisors, whose sum is σ = 329916579300. Its totient is φ = 26903197440.

The previous prime is 101331332017. The next prime is 101331332147. The reversal of 101331332100 is 1233133101.

It is a happy number.

101331332100 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 332 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4271668164 + 97059663936 = 65358^2 + 311544^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1827586 + ... + 1882214.

It is an arithmetic number, because the mean of its divisors is an integer number (1832869885).

Almost surely, 2^101331332100 is an apocalyptic number.

101331332100 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 101331332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164958289650).

101331332100 is an abundant number, since it is smaller than the sum of its proper divisors (228585247200).

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

101331332100 is a wasteful number, since it uses less digits than its factorization.

101331332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54884 (or 54868 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101331332100 its reverse (1233133101), we get a palindrome (102564465201).

The spelling of 101331332100 in words is "one hundred one billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred".