100122121121 has 8 divisors (see below), whose sum is σ = 109228893984. Its totient is φ = 91016141920.

The previous prime is 100122121111. The next prime is 100122121157. The reversal of 100122121121 is 121121221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100122121121 - 2¹⁰ = 100122120097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100122121096 and 100122121105.

It is not an unprimeable number, because it can be changed into a prime (100122121111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82685 + ... + 455061.

It is an arithmetic number, because the mean of its divisors is an integer number (13653611748).

Almost surely, 2^100122121121 is an apocalyptic number.

100122121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122121121 is a deficient number, since it is larger than the sum of its proper divisors (9106772863).

100122121121 is a wasteful number, since it uses less digits than its factorization.

100122121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396831.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122121121 its reverse (121121221001), we get a palindrome (221243342122).

It can be divided in two parts, 1001 and 22121121, that added together give a palindrome (22122122).

The spelling of 100122121121 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".