100111212000221 has 16 divisors (see below), whose sum is σ = 105363906693120. Its totient is φ = 94987524927360.

The previous prime is 100111212000203. The next prime is 100111212000223. The reversal of 100111212000221 is 122000212111001.

It is a cyclic number.

It is not a de Polignac number, because 100111212000221 - 2²⁶ = 100111144891357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111212000196 and 100111212000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111212000223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18905861 + ... + 23614698.

It is an arithmetic number, because the mean of its divisors is an integer number (6585244168320).

Almost surely, 2^{100111212000221} is an apocalyptic number.

It is an amenable number.

100111212000221 is a deficient number, since it is larger than the sum of its proper divisors (5252694692899).

100111212000221 is a wasteful number, since it uses less digits than its factorization.

100111212000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42522076.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100111212000221 its reverse (122000212111001), we get a palindrome (222111424111222).

The spelling of 100111212000221 in words is "one hundred trillion, one hundred eleven billion, two hundred twelve million, two hundred twenty-one", and thus it is an aban number.