3134402052100 has 144 divisors (see below), whose sum is σ = 7863128602560. Its totient is φ = 1071825203200.

The previous prime is 3134402052073. The next prime is 3134402052109. The reversal of 3134402052100 is 12502044313.

It is a super-2 number, since 2×3134402052100² (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 not an unprimeable number, because it can be changed into a prime (3134402052109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22126296 + ... + 22267504.

It is an arithmetic number, because the mean of its divisors is an integer number (54605059740).

Almost surely, 2^{3134402052100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134402052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931564301280).

3134402052100 is an abundant number, since it is smaller than the sum of its proper divisors (4728726550460).

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

3134402052100 is a wasteful number, since it uses less digits than its factorization.

3134402052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142438 (or 142431 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 3134402052100 its reverse (12502044313), we get a palindrome (3146904096413).

The spelling of 3134402052100 in words is "three trillion, one hundred thirty-four billion, four hundred two million, fifty-two thousand, one hundred".