100211102112111 has 16 divisors (see below), whose sum is σ = 139426899575040. Its totient is φ = 63901467924800.

The previous prime is 100211102112101. The next prime is 100211102112113. The reversal of 100211102112111 is 111211201112001.

It is a cyclic number.

It is not a de Polignac number, because 100211102112111 - 2¹³ = 100211102103919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211102112113) 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, 10841766 + ... + 17831603.

It is an arithmetic number, because the mean of its divisors is an integer number (8714181223440).

Almost surely, 2^{100211102112111} is an apocalyptic number.

100211102112111 is a deficient number, since it is larger than the sum of its proper divisors (39215797462929).

100211102112111 is a wasteful number, since it uses less digits than its factorization.

100211102112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28724046.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100211102112111 its reverse (111211201112001), we get a palindrome (211422303224112).

The spelling of 100211102112111 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, one hundred twelve thousand, one hundred eleven".