22201102100100 has 864 divisors, whose sum is σ = 88125969576960. Its totient is φ = 4180353408000.

The previous prime is 22201102100087. The next prime is 22201102100101. The reversal of 22201102100100 is 100120110222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22201102100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232130290 + ... + 232225910.

Almost surely, 2^{22201102100100} is an apocalyptic number.

22201102100100 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 22201102100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44062984788480).

22201102100100 is an abundant number, since it is smaller than the sum of its proper divisors (65924867476860).

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

22201102100100 is a wasteful number, since it uses less digits than its factorization.

22201102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95721 (or 95691 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22201102100100 its reverse (100120110222), we get a palindrome (22301222210322).

The spelling of 22201102100100 in words is "twenty-two trillion, two hundred one billion, one hundred two million, one hundred thousand, one hundred".