100120212202221 has 12 divisors (see below), whose sum is σ = 144792533137980. Its totient is φ = 66666293282880.

The previous prime is 100120212202187. The next prime is 100120212202223. The reversal of 100120212202221 is 122202212021001.

It is a happy number.

100120212202221 is a `hidden beast` number, since 10 + 0 + 1 + 20 + 212 + 202 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44815125248100 + 55305086954121 = 6694410^2 + 7436739^2 .

It is not a de Polignac number, because 100120212202221 - 2¹³ = 100120212194029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120212202194 and 100120212202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120212202223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6709563120 + ... + 6709578041.

It is an arithmetic number, because the mean of its divisors is an integer number (12066044428165).

Almost surely, 2^{100120212202221} is an apocalyptic number.

It is an amenable number.

100120212202221 is a deficient number, since it is larger than the sum of its proper divisors (44672320935759).

100120212202221 is a wasteful number, since it uses less digits than its factorization.

100120212202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13419141996 (or 13419141993 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100120212202221 its reverse (122202212021001), we get a palindrome (222322424223222).

The spelling of 100120212202221 in words is "one hundred trillion, one hundred twenty billion, two hundred twelve million, two hundred two thousand, two hundred twenty-one".