3342144102100 has 36 divisors (see below), whose sum is σ = 7253772283548. Its totient is φ = 1336614400000.

The previous prime is 3342144102029. The next prime is 3342144102103. The reversal of 3342144102100 is 12014412433.

It can be written as a sum of positive squares in 6 ways, for example, as 912074660676 + 2430069441424 = 955026^2 + 1558868^2 .

It is a super-2 number, since 2×3342144102100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342144102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2487661 + ... + 3587860.

It is an arithmetic number, because the mean of its divisors is an integer number (201493674543).

Almost surely, 2^{3342144102100} is an apocalyptic number.

It is an amenable number.

3342144102100 is an abundant number, since it is smaller than the sum of its proper divisors (3911628181448).

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

3342144102100 is a wasteful number, since it uses less digits than its factorization.

3342144102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081036 (or 6081029 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3342144102100 its reverse (12014412433), we get a palindrome (3354158514533).

The spelling of 3342144102100 in words is "three trillion, three hundred forty-two billion, one hundred forty-four million, one hundred two thousand, one hundred".