100121102212101 has 4 divisors (see below), whose sum is σ = 133494802949472. Its totient is φ = 66747401474732.

The previous prime is 100121102212091. The next prime is 100121102212123. The reversal of 100121102212101 is 101212201121001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100121102212101 - 2¹⁷ = 100121102081029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121102212141) 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 3 ways as a sum of consecutive naturals, for example, 16686850368681 + ... + 16686850368686.

It is an arithmetic number, because the mean of its divisors is an integer number (33373700737368).

Almost surely, 2^{100121102212101} is an apocalyptic number.

It is an amenable number.

100121102212101 is a deficient number, since it is larger than the sum of its proper divisors (33373700737371).

100121102212101 is an equidigital number, since it uses as much as digits as its factorization.

100121102212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33373700737370.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121102212101 its reverse (101212201121001), we get a palindrome (201333303333102).

The spelling of 100121102212101 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, two hundred twelve thousand, one hundred one".