2100321404334 has 128 divisors (see below), whose sum is σ = 4979528991360. Its totient is φ = 653930496000.

The previous prime is 2100321404309. The next prime is 2100321404359. The reversal of 2100321404334 is 4334041230012.

2100321404334 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 321 + 4 + 0 + 4 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (2100321404309) and next prime (2100321404359).

It is a super-2 number, since 2×2100321404334² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100321404298 and 2100321404307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64806534 + ... + 64838934.

It is an arithmetic number, because the mean of its divisors is an integer number (38902570245).

Almost surely, 2^{2100321404334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100321404334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489764495680).

2100321404334 is an abundant number, since it is smaller than the sum of its proper divisors (2879207587026).

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

2100321404334 is a wasteful number, since it uses less digits than its factorization.

2100321404334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32963 (or 32957 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2100321404334 its reverse (4334041230012), we get a palindrome (6434362634346).

The spelling of 2100321404334 in words is "two trillion, one hundred billion, three hundred twenty-one million, four hundred four thousand, three hundred thirty-four".