2034032312100 has 288 divisors, whose sum is σ = 5998359136000. Its totient is φ = 532102348800.

The previous prime is 2034032312099. The next prime is 2034032312131. The reversal of 2034032312100 is 12132304302.

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, 1568258652 + ... + 1568259948.

Almost surely, 2^{2034032312100} is an apocalyptic number.

2034032312100 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 2034032312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999179568000).

2034032312100 is an abundant number, since it is smaller than the sum of its proper divisors (3964326823900).

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

2034032312100 is a wasteful number, since it uses less digits than its factorization.

2034032312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2034032312100 its reverse (12132304302), we get a palindrome (2046164616402).

The spelling of 2034032312100 in words is "two trillion, thirty-four billion, thirty-two million, three hundred twelve thousand, one hundred".