100220201031200 has 144 divisors (see below), whose sum is σ = 248646778712640. Its totient is φ = 39437715072000.

The previous prime is 100220201031169. The next prime is 100220201031283. The reversal of 100220201031200 is 2130102022001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24271091 + ... + 28098509.

It is an arithmetic number, because the mean of its divisors is an integer number (1726713741060).

Almost surely, 2^{100220201031200} is an apocalyptic number.

100220201031200 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 100220201031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124323389356320).

100220201031200 is an abundant number, since it is smaller than the sum of its proper divisors (148426577681440).

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

100220201031200 is a wasteful number, since it uses less digits than its factorization.

100220201031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827971 (or 3827958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100220201031200 its reverse (2130102022001), we get a palindrome (102350303053201).

The spelling of 100220201031200 in words is "one hundred trillion, two hundred twenty billion, two hundred one million, thirty-one thousand, two hundred".