20100220211200 has 312 divisors, whose sum is σ = 50430295067040. Its totient is φ = 7945804185600.

The previous prime is 20100220211177. The next prime is 20100220211287. The reversal of 20100220211200 is 211202200102.

It is a happy number.

It is a congruent number.

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, 3231024090 + ... + 3231030310.

Almost surely, 2^{20100220211200} is an apocalyptic number.

20100220211200 is a gapful number since it is divisible by the number (20) 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 20100220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25215147533520).

20100220211200 is an abundant number, since it is smaller than the sum of its proper divisors (30330074855840).

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

20100220211200 is a wasteful number, since it uses less digits than its factorization.

20100220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20100220211200 its reverse (211202200102), we get a palindrome (20311422411302).

The spelling of 20100220211200 in words is "twenty trillion, one hundred billion, two hundred twenty million, two hundred eleven thousand, two hundred".