100122011121 has 32 divisors (see below), whose sum is σ = 147286190592. Its totient is φ = 59994639360.

The previous prime is 100122011117. The next prime is 100122011189. The reversal of 100122011121 is 121110221001.

It is not a de Polignac number, because 100122011121 - 2² = 100122011117 is a prime.

It is a super-2 number, since 2×100122011121² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100122011097 and 100122011106.

It is not an unprimeable number, because it can be changed into a prime (100122016121) 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 31 ways as a sum of consecutive naturals, for example, 989926 + ... + 1086368.

It is an arithmetic number, because the mean of its divisors is an integer number (4602693456).

Almost surely, 2^100122011121 is an apocalyptic number.

100122011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122011121 is a deficient number, since it is larger than the sum of its proper divisors (47164179471).

100122011121 is a wasteful number, since it uses less digits than its factorization.

100122011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96813.

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

Adding to 100122011121 its reverse (121110221001), we get a palindrome (221232232122).

The spelling of 100122011121 in words is "one hundred billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".