100201222211200 has 192 divisors, whose sum is σ = 270467203500000. Its totient is φ = 36377936179200.

The previous prime is 100201222211183. The next prime is 100201222211219. The reversal of 100201222211200 is 2112222102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 19489426 + ... + 24088174.

Almost surely, 2^{100201222211200} is an apocalyptic number.

100201222211200 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 100201222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233601750000).

100201222211200 is an abundant number, since it is smaller than the sum of its proper divisors (170265981288800).

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

100201222211200 is a wasteful number, since it uses less digits than its factorization.

100201222211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599403 (or 4599386 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100201222211200 its reverse (2112222102001), we get a palindrome (102313444313201).

The spelling of 100201222211200 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".