100211112011 has 8 divisors (see below), whose sum is σ = 102607110144. Its totient is φ = 97818091560.

The previous prime is 100211111963. The next prime is 100211112061. The reversal of 100211112011 is 110211112001.

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 100211112011 - 2²⁶ = 100144003147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211111983 and 100211112001.

It is not an unprimeable number, because it can be changed into a prime (100211112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676235 + ... + 810996.

It is an arithmetic number, because the mean of its divisors is an integer number (12825888768).

Almost surely, 2^100211112011 is an apocalyptic number.

100211112011 is a deficient number, since it is larger than the sum of its proper divisors (2395998133).

100211112011 is a wasteful number, since it uses less digits than its factorization.

100211112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488841.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100211112011 its reverse (110211112001), we get a palindrome (210422224012).

The spelling of 100211112011 in words is "one hundred billion, two hundred eleven million, one hundred twelve thousand, eleven".