10210210201200 has 120 divisors (see below), whose sum is σ = 32716422014976. Its totient is φ = 2721913952000.

The previous prime is 10210210201189. The next prime is 10210210201201. The reversal of 10210210201200 is 210201201201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210210201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2783185 + ... + 5307215.

Almost surely, 2^{10210210201200} is an apocalyptic number.

10210210201200 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 10210210201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358211007488).

10210210201200 is an abundant number, since it is smaller than the sum of its proper divisors (22506211813776).

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

10210210201200 is a wasteful number, since it uses less digits than its factorization.

10210210201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527423 (or 2527412 counting only the distinct ones).

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

Adding to 10210210201200 its reverse (210201201201), we get a palindrome (10420411402401).

The spelling of 10210210201200 in words is "ten trillion, two hundred ten billion, two hundred ten million, two hundred one thousand, two hundred".