100122102112221 has 24 divisors (see below), whose sum is σ = 165654025168320. Its totient is φ = 57083481614016.

The previous prime is 100122102112211. The next prime is 100122102112301. The reversal of 100122102112221 is 122211201221001.

100122102112221 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 0 + 211 + 2 + 221 = 666.

It is not a de Polignac number, because 100122102112221 - 2¹³ = 100122102104029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122102112194 and 100122102112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122102112211) 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, 1793696376 + ... + 1793752193.

It is an arithmetic number, because the mean of its divisors is an integer number (6902251048680).

Almost surely, 2^{100122102112221} is an apocalyptic number.

It is an amenable number.

100122102112221 is a deficient number, since it is larger than the sum of its proper divisors (65531923056099).

100122102112221 is a wasteful number, since it uses less digits than its factorization.

100122102112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587449025 (or 3587449022 counting only the distinct ones).

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

Adding to 100122102112221 its reverse (122211201221001), we get a palindrome (222333303333222).

The spelling of 100122102112221 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, two hundred twenty-one".