100121122011 has 16 divisors (see below), whose sum is σ = 134408736000. Its totient is φ = 66290581728.

The previous prime is 100121122001. The next prime is 100121122019. The reversal of 100121122011 is 110221121001.

It is not a de Polignac number, because 100121122011 - 2⁵ = 100121121979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100121122019) 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 15 ways as a sum of consecutive naturals, for example, 6482280 + ... + 6497706.

It is an arithmetic number, because the mean of its divisors is an integer number (8400546000).

Almost surely, 2^100121122011 is an apocalyptic number.

100121122011 is a deficient number, since it is larger than the sum of its proper divisors (34287613989).

100121122011 is a wasteful number, since it uses less digits than its factorization.

100121122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30098.

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

Adding to 100121122011 its reverse (110221121001), we get a palindrome (210342243012).

The spelling of 100121122011 in words is "one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, eleven".