10212202111200 has 72 divisors (see below), whose sum is σ = 33240717879768. Its totient is φ = 2723253895680.

The previous prime is 10212202111187. The next prime is 10212202111277. The reversal of 10212202111200 is 211120221201.

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 10212202111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2127539707 + ... + 2127544506.

It is an arithmetic number, because the mean of its divisors is an integer number (461676637219).

Almost surely, 2^{10212202111200} is an apocalyptic number.

10212202111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212202111200 is an abundant number, since it is smaller than the sum of its proper divisors (23028515768568).

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

10212202111200 is a wasteful number, since it uses less digits than its factorization.

10212202111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255084236 (or 4255084223 counting only the distinct ones).

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

Adding to 10212202111200 its reverse (211120221201), we get a palindrome (10423322332401).

The spelling of 10212202111200 in words is "ten trillion, two hundred twelve billion, two hundred two million, one hundred eleven thousand, two hundred".