2101324040100 has 180 divisors, whose sum is σ = 6812689637908. Its totient is φ = 560268576000.

The previous prime is 2101324040093. The next prime is 2101324040107. The reversal of 2101324040100 is 10404231012.

2101324040100 is a `hidden beast` number, since 2 + 10 + 13 + 240 + 401 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2101324040093) and next prime (2101324040107).

It can be written as a sum of positive squares in 6 ways, for example, as 320428452096 + 1780895588004 = 566064^2 + 1334502^2 .

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 not an unprimeable number, because it can be changed into a prime (2101324040107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68518770 + ... + 68549430.

Almost surely, 2^{2101324040100} is an apocalyptic number.

2101324040100 is a gapful number since it is divisible by the number (20) 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 2101324040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406344818954).

2101324040100 is an abundant number, since it is smaller than the sum of its proper divisors (4711365597808).

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

2101324040100 is a wasteful number, since it uses less digits than its factorization.

2101324040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39148 (or 39132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2101324040100 its reverse (10404231012), we get a palindrome (2111728271112).

The spelling of 2101324040100 in words is "two trillion, one hundred one billion, three hundred twenty-four million, forty thousand, one hundred".