2102102101200 has 240 divisors, whose sum is σ = 6983919921152. Its totient is φ = 539904960000.

The previous prime is 2102102101171. The next prime is 2102102101301. The reversal of 2102102101200 is 21012012012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 7715295 + ... + 7983105.

Almost surely, 2^{2102102101200} is an apocalyptic number.

2102102101200 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 2102102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491959960576).

2102102101200 is an abundant number, since it is smaller than the sum of its proper divisors (4881817819952).

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

2102102101200 is a wasteful number, since it uses less digits than its factorization.

2102102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268074 (or 268063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102102101200 its reverse (21012012012), we get a palindrome (2123114113212).

The spelling of 2102102101200 in words is "two trillion, one hundred two billion, one hundred two million, one hundred one thousand, two hundred".