100212221221121 has 8 divisors (see below), whose sum is σ = 100251781619880. Its totient is φ = 100172664396288.

The previous prime is 100212221221081. The next prime is 100212221221141. The reversal of 100212221221121 is 121122122212001.

It can be written as a sum of positive squares in 4 ways, for example, as 14043906150400 + 86168315070721 = 3747520^2 + 9282689^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100212221221121 - 2⁴² = 95814174710017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212221221093 and 100212221221102.

It is not an unprimeable number, because it can be changed into a prime (100212221221141) 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, 55908785 + ... + 57673361.

It is an arithmetic number, because the mean of its divisors is an integer number (12531472702485).

Almost surely, 2^{100212221221121} is an apocalyptic number.

It is an amenable number.

100212221221121 is a deficient number, since it is larger than the sum of its proper divisors (39560398759).

100212221221121 is a wasteful number, since it uses less digits than its factorization.

100212221221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786963.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100212221221121 its reverse (121122122212001), we get a palindrome (221334343433122).

The spelling of 100212221221121 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".