100212002120221 has 4 divisors (see below), whose sum is σ = 100661383295872. Its totient is φ = 99762620944572.

The previous prime is 100212002120201. The next prime is 100212002120291. The reversal of 100212002120221 is 122021200212001.

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 100212002120221 - 2⁹ = 100212002119709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212002120195 and 100212002120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212002120201) 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, 224690587491 + ... + 224690587936.

It is an arithmetic number, because the mean of its divisors is an integer number (25165345823968).

Almost surely, 2^{100212002120221} is an apocalyptic number.

It is an amenable number.

100212002120221 is a deficient number, since it is larger than the sum of its proper divisors (449381175651).

100212002120221 is an equidigital number, since it uses as much as digits as its factorization.

100212002120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449381175650.

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

Adding to 100212002120221 its reverse (122021200212001), we get a palindrome (222233202332222).

The spelling of 100212002120221 in words is "one hundred trillion, two hundred twelve billion, two million, one hundred twenty thousand, two hundred twenty-one".