212100110020 has 48 divisors (see below), whose sum is σ = 472073516208. Its totient is φ = 79771115520.

The previous prime is 212100110017. The next prime is 212100110029. The reversal of 212100110020 is 20011001212.

It can be written as a sum of positive squares in 8 ways, for example, as 12641404356 + 199458705664 = 112434^2 + 446608^2 .

It is a super-2 number, since 2×212100110020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212100109979 and 212100110006.

It is not an unprimeable number, because it can be changed into a prime (212100110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41644 + ... + 652636.

It is an arithmetic number, because the mean of its divisors is an integer number (9834864921).

Almost surely, 2^212100110020 is an apocalyptic number.

212100110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100110020 is an abundant number, since it is smaller than the sum of its proper divisors (259973406188).

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

212100110020 is a wasteful number, since it uses less digits than its factorization.

212100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612040 (or 612038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212100110020 its reverse (20011001212), we get a palindrome (232111111232).

The spelling of 212100110020 in words is "two hundred twelve billion, one hundred million, one hundred ten thousand, twenty".