100122110121 has 32 divisors (see below), whose sum is σ = 148423904640. Its totient is φ = 59527872000.

The previous prime is 100122110111. The next prime is 100122110131. The reversal of 100122110121 is 121011221001.

It is an interprime number because it is at equal distance from previous prime (100122110111) and next prime (100122110131).

It is not a de Polignac number, because 100122110121 - 2¹⁰ = 100122109097 is a prime.

It is a super-3 number, since 3×100122110121³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122110097 and 100122110106.

It is not an unprimeable number, because it can be changed into a prime (100122110111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225501 + ... + 501093.

It is an arithmetic number, because the mean of its divisors is an integer number (4638247020).

Almost surely, 2^100122110121 is an apocalyptic number.

100122110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122110121 is a deficient number, since it is larger than the sum of its proper divisors (48301794519).

100122110121 is a wasteful number, since it uses less digits than its factorization.

100122110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275817.

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

Adding to 100122110121 its reverse (121011221001), we get a palindrome (221133331122).

It can be divided in two parts, 1001 and 22110121, that added together give a palindrome (22111122).

The spelling of 100122110121 in words is "one hundred billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".