1234300002100 has 288 divisors, whose sum is σ = 3120694262784. Its totient is φ = 419520000000.

The previous prime is 1234300002071. The next prime is 1234300002119. The reversal of 1234300002100 is 12000034321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141203730 + ... + 141212470.

It is an arithmetic number, because the mean of its divisors is an integer number (10835743968).

Almost surely, 2^{1234300002100} is an apocalyptic number.

1234300002100 is a gapful number since it is divisible by the number (10) 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 1234300002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560347131392).

1234300002100 is an abundant number, since it is smaller than the sum of its proper divisors (1886394260684).

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

1234300002100 is a wasteful number, since it uses less digits than its factorization.

1234300002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8939 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1234300002100 its reverse (12000034321), we get a palindrome (1246300036421).

It can be divided in two parts, 123430000 and 2100, that added together give a square (123432100 = 11110²).

The spelling of 1234300002100 in words is "one trillion, two hundred thirty-four billion, three hundred million, two thousand, one hundred".