2134210002100 has 144 divisors (see below), whose sum is σ = 5105111126976. Its totient is φ = 767966080000.

The previous prime is 2134210002053. The next prime is 2134210002163. The reversal of 2134210002100 is 12000124312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255192519 + ... + 255200881.

It is an arithmetic number, because the mean of its divisors is an integer number (35452160604).

Almost surely, 2^{2134210002100} is an apocalyptic number.

2134210002100 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 2134210002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552555563488).

2134210002100 is an abundant number, since it is smaller than the sum of its proper divisors (2970901124876).

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

2134210002100 is a wasteful number, since it uses less digits than its factorization.

2134210002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2134210002100 its reverse (12000124312), we get a palindrome (2146210126412).

The spelling of 2134210002100 in words is "two trillion, one hundred thirty-four billion, two hundred ten million, two thousand, one hundred".