100212121012111 has 32 divisors (see below), whose sum is σ = 107218955796480. Its totient is φ = 93453467427936.

The previous prime is 100212121012067. The next prime is 100212121012121. The reversal of 100212121012111 is 111210121212001.

It is a cyclic number.

It is not a de Polignac number, because 100212121012111 - 2²¹ = 100212118914959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212121012121) 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 31 ways as a sum of consecutive naturals, for example, 466414270 + ... + 466629076.

It is an arithmetic number, because the mean of its divisors is an integer number (3350592368640).

Almost surely, 2^{100212121012111} is an apocalyptic number.

100212121012111 is a deficient number, since it is larger than the sum of its proper divisors (7006834784369).

100212121012111 is a wasteful number, since it uses less digits than its factorization.

100212121012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217723.

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

Adding to 100212121012111 its reverse (111210121212001), we get a palindrome (211422242224112).

The spelling of 100212121012111 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, twelve thousand, one hundred eleven".