100122121210111 has 48 divisors (see below), whose sum is σ = 136713979809792. Its totient is φ = 71342864619840.

The previous prime is 100122121210081. The next prime is 100122121210121. The reversal of 100122121210111 is 111012121221001.

It is not a de Polignac number, because 100122121210111 - 2⁵ = 100122121210079 is a prime.

It is a super-2 number, since 2×100122121210111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122121210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41312095 + ... + 43668448.

It is an arithmetic number, because the mean of its divisors is an integer number (2848207912704).

Almost surely, 2^{100122121210111} is an apocalyptic number.

100122121210111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122121210111 is a deficient number, since it is larger than the sum of its proper divisors (36591858599681).

100122121210111 is a wasteful number, since it uses less digits than its factorization.

100122121210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84980692 (or 84980681 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100122121210111 its reverse (111012121221001), we get a palindrome (211134242431112).

The spelling of 100122121210111 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred eleven".