100212220112111 has 8 divisors (see below), whose sum is σ = 109529864866944. Its totient is φ = 91274887388160.

The previous prime is 100212220112093. The next prime is 100212220112129. The reversal of 100212220112111 is 111211022212001.

It is an interprime number because it is at equal distance from previous prime (100212220112093) and next prime (100212220112129).

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 100212220112111 - 2⁴² = 95814173601007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100212220112111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212220112171) 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, 95078007170 + ... + 95078008223.

It is an arithmetic number, because the mean of its divisors is an integer number (13691233108368).

Almost surely, 2^{100212220112111} is an apocalyptic number.

100212220112111 is a deficient number, since it is larger than the sum of its proper divisors (9317644754833).

100212220112111 is a wasteful number, since it uses less digits than its factorization.

100212220112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190156015441.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100212220112111 its reverse (111211022212001), we get a palindrome (211423242324112).

The spelling of 100212220112111 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred eleven".