100202122210221 has 24 divisors (see below), whose sum is σ = 145295212258560. Its totient is φ = 66543584810400.

The previous prime is 100202122210207. The next prime is 100202122210271. The reversal of 100202122210221 is 122012221202001.

It is a happy number.

100202122210221 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 212 + 2 + 210 + 221 = 666.

It is not a de Polignac number, because 100202122210221 - 2¹³ = 100202122202029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202122210194 and 100202122210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202122210271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10844811 + ... + 17832951.

It is an arithmetic number, because the mean of its divisors is an integer number (6053967177440).

Almost surely, 2^{100202122210221} is an apocalyptic number.

It is an amenable number.

100202122210221 is a deficient number, since it is larger than the sum of its proper divisors (45093090048339).

100202122210221 is a wasteful number, since it uses less digits than its factorization.

100202122210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994297 (or 6994294 counting only the distinct ones).

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

Adding to 100202122210221 its reverse (122012221202001), we get a palindrome (222214343412222).

The spelling of 100202122210221 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty-one".