100212112201221 has 6 divisors (see below), whose sum is σ = 144750828735110. Its totient is φ = 66808074800808.

The previous prime is 100212112201199. The next prime is 100212112201241. The reversal of 100212112201221 is 122102211212001.

100212112201221 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 11 + 220 + 1 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55649958812100 + 44562153389121 = 7459890^2 + 6675489^2 .

It is not a de Polignac number, because 100212112201221 - 2¹⁰ = 100212112200197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212112201194 and 100212112201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212112201241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5567339566726 + ... + 5567339566743.

Almost surely, 2^{100212112201221} is an apocalyptic number.

It is an amenable number.

100212112201221 is a deficient number, since it is larger than the sum of its proper divisors (44538716533889).

100212112201221 is a wasteful number, since it uses less digits than its factorization.

100212112201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134679133475 (or 11134679133472 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212112201221 its reverse (122102211212001), we get a palindrome (222314323413222).

The spelling of 100212112201221 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred one thousand, two hundred twenty-one".