100121022011 has 16 divisors (see below), whose sum is σ = 109377993600. Its totient is φ = 91283232768.

The previous prime is 100121022007. The next prime is 100121022161. The reversal of 100121022011 is 110220121001.

It is a cyclic number.

It is not a de Polignac number, because 100121022011 - 2² = 100121022007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121021983 and 100121022001.

It is not an unprimeable number, because it can be changed into a prime (100121622011) 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, 632126 + ... + 774483.

It is an arithmetic number, because the mean of its divisors is an integer number (6836124600).

Almost surely, 2^100121022011 is an apocalyptic number.

100121022011 is a deficient number, since it is larger than the sum of its proper divisors (9256971589).

100121022011 is a wasteful number, since it uses less digits than its factorization.

100121022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406758.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121022011 its reverse (110220121001), we get a palindrome (210341143012).

The spelling of 100121022011 in words is "one hundred billion, one hundred twenty-one million, twenty-two thousand, eleven".