10200122211200 has 192 divisors, whose sum is σ = 26297805582720. Its totient is φ = 3901947033600.

The previous prime is 10200122211199. The next prime is 10200122211203. The reversal of 10200122211200 is 211222100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200122211203) 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, 599610695 + ... + 599627705.

It is an arithmetic number, because the mean of its divisors is an integer number (136967737410).

Almost surely, 2^{10200122211200} is an apocalyptic number.

10200122211200 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 10200122211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148902791360).

10200122211200 is an abundant number, since it is smaller than the sum of its proper divisors (16097683371520).

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

10200122211200 is a wasteful number, since it uses less digits than its factorization.

10200122211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25205 (or 25188 counting only the distinct ones).

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

Adding to 10200122211200 its reverse (211222100201), we get a palindrome (10411344311401).

The spelling of 10200122211200 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".