10212221101200 has 120 divisors (see below), whose sum is σ = 32714568776448. Its totient is φ = 2723140707840.

The previous prime is 10212221101189. The next prime is 10212221101211. The reversal of 10212221101200 is 210112221201.

10212221101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10212221101189) and next prime (10212221101211).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212221101200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29439969 + ... + 29784831.

Almost surely, 2^{10212221101200} is an apocalyptic number.

10212221101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212221101200 is an abundant number, since it is smaller than the sum of its proper divisors (22502347675248).

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

10212221101200 is a wasteful number, since it uses less digits than its factorization.

10212221101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369561 (or 369550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212221101200 its reverse (210112221201), we get a palindrome (10422333322401).

The spelling of 10212221101200 in words is "ten trillion, two hundred twelve billion, two hundred twenty-one million, one hundred one thousand, two hundred".