100212200010221 has 8 divisors (see below), whose sum is σ = 108210162771480. Its totient is φ = 92255570390592.

The previous prime is 100212200010179. The next prime is 100212200010259. The reversal of 100212200010221 is 122010002212001.

It can be written as a sum of positive squares in 4 ways, for example, as 567783348196 + 99644416662025 = 753514^2 + 9982205^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212200010221 - 2¹⁰ = 100212200009197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212200010196 and 100212200010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212200010271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10333280366 + ... + 10333290063.

It is an arithmetic number, because the mean of its divisors is an integer number (13526270346435).

Almost surely, 2^{100212200010221} is an apocalyptic number.

It is an amenable number.

100212200010221 is a deficient number, since it is larger than the sum of its proper divisors (7997962761259).

100212200010221 is a wasteful number, since it uses less digits than its factorization.

100212200010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666570815.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212200010221 its reverse (122010002212001), we get a palindrome (222222202222222).

The spelling of 100212200010221 in words is "one hundred trillion, two hundred twelve billion, two hundred million, ten thousand, two hundred twenty-one".