100122000110121 has 16 divisors (see below), whose sum is σ = 145634814237888. Its totient is φ = 60678827534400.

The previous prime is 100122000110053. The next prime is 100122000110141. The reversal of 100122000110121 is 121011000221001.

It is not a de Polignac number, because 100122000110121 - 2¹⁰ = 100122000109097 is a prime.

It is a super-3 number, since 3×100122000110121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100122000110097 and 100122000110106.

It is not an unprimeable number, because it can be changed into a prime (100122000110141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27578110 + ... + 30996711.

It is an arithmetic number, because the mean of its divisors is an integer number (9102175889868).

Almost surely, 2^{100122000110121} is an apocalyptic number.

100122000110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122000110121 is a deficient number, since it is larger than the sum of its proper divisors (45512814127767).

100122000110121 is a wasteful number, since it uses less digits than its factorization.

100122000110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58626632.

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

Adding to 100122000110121 its reverse (121011000221001), we get a palindrome (221133000331122).

The spelling of 100122000110121 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten thousand, one hundred twenty-one".