100202221201221 has 32 divisors (see below), whose sum is σ = 148791592800000. Its totient is φ = 66646888910784.

The previous prime is 100202221201211. The next prime is 100202221201241. The reversal of 100202221201221 is 122102122202001.

It is a happy number.

100202221201221 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 2 + 221 + 201 + 221 = 666.

It is not a de Polignac number, because 100202221201221 - 2¹³ = 100202221193029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202221201194 and 100202221201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202221201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23052091 + ... + 27051863.

It is an arithmetic number, because the mean of its divisors is an integer number (4649737275000).

Almost surely, 2^{100202221201221} is an apocalyptic number.

It is an amenable number.

100202221201221 is a deficient number, since it is larger than the sum of its proper divisors (48589371598779).

100202221201221 is a wasteful number, since it uses less digits than its factorization.

100202221201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001930 (or 4001924 counting only the distinct ones).

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

Adding to 100202221201221 its reverse (122102122202001), we get a palindrome (222304343403222).

The spelling of 100202221201221 in words is "one hundred trillion, two hundred two billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty-one".