100011121211 has 16 divisors (see below), whose sum is σ = 103904918208. Its totient is φ = 96206947200.

The previous prime is 100011121187. The next prime is 100011121213. The reversal of 100011121211 is 112121110001.

It is a cyclic number.

It is not a de Polignac number, because 100011121211 - 2²² = 100006926907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011121192 and 100011121201.

It is not an unprimeable number, because it can be changed into a prime (100011121213) 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 15 ways as a sum of consecutive naturals, for example, 607685 + ... + 754521.

It is an arithmetic number, because the mean of its divisors is an integer number (6494057388).

Almost surely, 2^100011121211 is an apocalyptic number.

100011121211 is a deficient number, since it is larger than the sum of its proper divisors (3893796997).

100011121211 is a wasteful number, since it uses less digits than its factorization.

100011121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147142.

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

Adding to 100011121211 its reverse (112121110001), we get a palindrome (212132231212).

It can be divided in two parts, 10001 and 1121211, that multiplied together give a palindrome (11213231211).

The spelling of 100011121211 in words is "one hundred billion, eleven million, one hundred twenty-one thousand, two hundred eleven".