100111222222121 has 16 divisors (see below), whose sum is σ = 111364363064448. Its totient is φ = 89234265072000.

The previous prime is 100111222222091. The next prime is 100111222222171. The reversal of 100111222222121 is 121222222111001.

It is a cyclic number.

It is not a de Polignac number, because 100111222222121 - 2³⁴ = 100094042352937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111222222093 and 100111222222102.

It is not an unprimeable number, because it can be changed into a prime (100111222222171) 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, 437308436 + ... + 437537301.

It is an arithmetic number, because the mean of its divisors is an integer number (6960272691528).

Almost surely, 2^{100111222222121} is an apocalyptic number.

100111222222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111222222121 is a deficient number, since it is larger than the sum of its proper divisors (11253140842327).

100111222222121 is a wasteful number, since it uses less digits than its factorization.

100111222222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874845952.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100111222222121 its reverse (121222222111001), we get a palindrome (221333444333122).

The spelling of 100111222222121 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".