100212112122221 has 4 divisors (see below), whose sum is σ = 109322304133344. Its totient is φ = 91101920111100.

The previous prime is 100212112122203. The next prime is 100212112122233. The reversal of 100212112122221 is 122221211212001.

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 100212112122221 - 2¹⁰ = 100212112121197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212112122193 and 100212112122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212112122271) 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, 4555096005545 + ... + 4555096005566.

It is an arithmetic number, because the mean of its divisors is an integer number (27330576033336).

Almost surely, 2^{100212112122221} is an apocalyptic number.

100212112122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212112122221 is a deficient number, since it is larger than the sum of its proper divisors (9110192011123).

100212112122221 is an equidigital number, since it uses as much as digits as its factorization.

100212112122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110192011122.

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

Adding to 100212112122221 its reverse (122221211212001), we get a palindrome (222433323334222).

The spelling of 100212112122221 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".