100211122011 has 432 divisors, whose sum is σ = 204968649312. Its totient is φ = 43174010880.

The previous prime is 100211121991. The next prime is 100211122013. The reversal of 100211122011 is 110221112001.

It is not a de Polignac number, because 100211122011 - 2¹⁰ = 100211120987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211122013) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1890775861 + ... + 1890775913.

It is an arithmetic number, because the mean of its divisors is an integer number (474464466).

Almost surely, 2^100211122011 is an apocalyptic number.

100211122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211122011 is an abundant number, since it is smaller than the sum of its proper divisors (104757527301).

100211122011 is a wasteful number, since it uses less digits than its factorization.

100211122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211122011 its reverse (110221112001), we get a palindrome (210432234012).

It can be divided in two parts, 100211 and 122011, that added together give a palindrome (222222).

The spelling of 100211122011 in words is "one hundred billion, two hundred eleven million, one hundred twenty-two thousand, eleven".