20211222212100 has 216 divisors, whose sum is σ = 64317255197832. Its totient is φ = 5307676416000.

The previous prime is 20211222212089. The next prime is 20211222212117. The reversal of 20211222212100 is 121222211202.

It is a happy number.

20211222212100 is a `hidden beast` number, since 2 + 0 + 211 + 22 + 221 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4109669581824 + 16101552630276 = 2027232^2 + 4012674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 42666550 + ... + 43137650.

Almost surely, 2^{20211222212100} is an apocalyptic number.

20211222212100 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 20211222212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32158627598916).

20211222212100 is an abundant number, since it is smaller than the sum of its proper divisors (44106032985732).

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

20211222212100 is a wasteful number, since it uses less digits than its factorization.

20211222212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471847 (or 471837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20211222212100 its reverse (121222211202), we get a palindrome (20332444423302).

The spelling of 20211222212100 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".