100012212221200 has 240 divisors, whose sum is σ = 245835753071760. Its totient is φ = 39091117916160.

The previous prime is 100012212221171. The next prime is 100012212221213. The reversal of 100012212221200 is 2122212210001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 18263417639184 + 81748794582016 = 4273572^2 + 9041504^2 .

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 47 ways as a sum of consecutive naturals, for example, 2036179042 + ... + 2036228158.

It is an arithmetic number, because the mean of its divisors is an integer number (1024315637799).

Almost surely, 2^{100012212221200} is an apocalyptic number.

100012212221200 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 100012212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122917876535880).

100012212221200 is an abundant number, since it is smaller than the sum of its proper divisors (145823540850560).

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

100012212221200 is a wasteful number, since it uses less digits than its factorization.

100012212221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49854 (or 49843 counting only the distinct ones).

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

Adding to 100012212221200 its reverse (2122212210001), we get a palindrome (102134424431201).

The spelling of 100012212221200 in words is "one hundred trillion, twelve billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".