20010212021100 has 432 divisors, whose sum is σ = 68651678511360. Its totient is φ = 4486120128000.

The previous prime is 20010212021089. The next prime is 20010212021113. The reversal of 20010212021100 is 112021201002.

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

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 143 ways as a sum of consecutive naturals, for example, 158799921 + ... + 158925879.

It is an arithmetic number, because the mean of its divisors is an integer number (158915922480).

Almost surely, 2^{20010212021100} is an apocalyptic number.

20010212021100 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 20010212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34325839255680).

20010212021100 is an abundant number, since it is smaller than the sum of its proper divisors (48641466490260).

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

20010212021100 is a wasteful number, since it uses less digits than its factorization.

20010212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126198 (or 126184 counting only the distinct ones).

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

Adding to 20010212021100 its reverse (112021201002), we get a palindrome (20122233222102).

The spelling of 20010212021100 in words is "twenty trillion, ten billion, two hundred twelve million, twenty-one thousand, one hundred".