100122012011 has 16 divisors (see below), whose sum is σ = 119496000000. Its totient is φ = 82021724928.

The previous prime is 100122011981. The next prime is 100122012019. The reversal of 100122012011 is 110210221001.

It is a cyclic number.

It is not a de Polignac number, because 100122012011 - 2²⁶ = 100054903147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122011983 and 100122012001.

It is not an unprimeable number, because it can be changed into a prime (100122012019) 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, 47861 + ... + 450038.

It is an arithmetic number, because the mean of its divisors is an integer number (7468500000).

Almost surely, 2^100122012011 is an apocalyptic number.

100122012011 is a deficient number, since it is larger than the sum of its proper divisors (19373987989).

100122012011 is a wasteful number, since it uses less digits than its factorization.

100122012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499178.

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

Adding to 100122012011 its reverse (110210221001), we get a palindrome (210332233012).

The spelling of 100122012011 in words is "one hundred billion, one hundred twenty-two million, twelve thousand, eleven".