100122210200221 has 8 divisors (see below), whose sum is σ = 110762598737088. Its totient is φ = 89738216568000.

The previous prime is 100122210200119. The next prime is 100122210200237. The reversal of 100122210200221 is 122002012221001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100122210200221 - 2⁷ = 100122210200093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122210200195 and 100122210200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122210200251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64098725340 + ... + 64098726901.

It is an arithmetic number, because the mean of its divisors is an integer number (13845324842136).

Almost surely, 2^{100122210200221} is an apocalyptic number.

100122210200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122210200221 is a deficient number, since it is larger than the sum of its proper divisors (10640388536867).

100122210200221 is a wasteful number, since it uses less digits than its factorization.

100122210200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128197452323.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122210200221 its reverse (122002012221001), we get a palindrome (222124222421222).

It can be divided in two parts, 1001 and 22210200221, that added together give a palindrome (22210201222).

The spelling of 100122210200221 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, two hundred thousand, two hundred twenty-one".