100212100012111 has 16 divisors (see below), whose sum is σ = 108100554075360. Its totient is φ = 92586828971520.

The previous prime is 100212100012093. The next prime is 100212100012117. The reversal of 100212100012111 is 111210001212001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100212100012111 - 2¹³ = 100212100003919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212100012091 and 100212100012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212100012117) 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, 22539496 + ... + 26616781.

It is an arithmetic number, because the mean of its divisors is an integer number (6756284629710).

Almost surely, 2^{100212100012111} is an apocalyptic number.

100212100012111 is a deficient number, since it is larger than the sum of its proper divisors (7888454063249).

100212100012111 is a wasteful number, since it uses less digits than its factorization.

100212100012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49158954.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100212100012111 its reverse (111210001212001), we get a palindrome (211422101224112).

The spelling of 100212100012111 in words is "one hundred trillion, two hundred twelve billion, one hundred million, twelve thousand, one hundred eleven".