100122022210221 has 32 divisors (see below), whose sum is σ = 161839060992000. Its totient is φ = 60670379049840.

The previous prime is 100122022210207. The next prime is 100122022210247. The reversal of 100122022210221 is 122012220221001.

It is a happy number.

100122022210221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 220 + 2 + 221 + 0 + 221 = 666.

It is not a de Polignac number, because 100122022210221 - 2³³ = 100113432275629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122022210194 and 100122022210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122022210121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24888301 + ... + 28629906.

It is an arithmetic number, because the mean of its divisors is an integer number (5057470656000).

Almost surely, 2^{100122022210221} is an apocalyptic number.

100122022210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122022210221 is a deficient number, since it is larger than the sum of its proper divisors (61717038781779).

100122022210221 is a wasteful number, since it uses less digits than its factorization.

100122022210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53524526 (or 53524520 counting only the distinct ones).

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

Adding to 100122022210221 its reverse (122012220221001), we get a palindrome (222134242431222).

The spelling of 100122022210221 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, two hundred ten thousand, two hundred twenty-one".