2101314259200 has 864 divisors, whose sum is σ = 7598154659200. Its totient is φ = 508333916160.

The previous prime is 2101314259183. The next prime is 2101314259243. The reversal of 2101314259200 is 29524131012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5544364611 + ... + 5544364989.

Almost surely, 2^{2101314259200} is an apocalyptic number.

2101314259200 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 2101314259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799077329600).

2101314259200 is an abundant number, since it is smaller than the sum of its proper divisors (5496840400000).

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

2101314259200 is a wasteful number, since it uses less digits than its factorization.

2101314259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 2101314259200 in words is "two trillion, one hundred one billion, three hundred fourteen million, two hundred fifty-nine thousand, two hundred".