100212102100020 has 24 divisors (see below), whose sum is σ = 280593885880224. Its totient is φ = 26723227226656.

The previous prime is 100212102100013. The next prime is 100212102100031. The reversal of 100212102100020 is 20001201212001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212102099969 and 100212102100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835100850774 + ... + 835100850893.

It is an arithmetic number, because the mean of its divisors is an integer number (11691411911676).

Almost surely, 2^{100212102100020} is an apocalyptic number.

100212102100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212102100020 is an abundant number, since it is smaller than the sum of its proper divisors (180381783780204).

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

100212102100020 is a wasteful number, since it uses less digits than its factorization.

100212102100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670201701679 (or 1670201701677 counting only the distinct ones).

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

Adding to 100212102100020 its reverse (20001201212001), we get a palindrome (120213303312021).

The spelling of 100212102100020 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred thousand, twenty".