10212120201200 has 60 divisors (see below), whose sum is σ = 24690890392440. Its totient is φ = 4058829914880.

The previous prime is 10212120201161. The next prime is 10212120201209. The reversal of 10212120201200 is 210202121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212120201209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81243890 + ... + 81369489.

It is an arithmetic number, because the mean of its divisors is an integer number (411514839874).

Almost surely, 2^{10212120201200} is an apocalyptic number.

10212120201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212120201200 is an abundant number, since it is smaller than the sum of its proper divisors (14478770191240).

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

10212120201200 is a wasteful number, since it uses less digits than its factorization.

10212120201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162613554 (or 162613543 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10212120201200 its reverse (210202121201), we get a palindrome (10422322322401).

The spelling of 10212120201200 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, two hundred one thousand, two hundred".