100002111022121 has 32 divisors (see below), whose sum is σ = 130657101539328. Its totient is φ = 74215838759040.

The previous prime is 100002111022087. The next prime is 100002111022129. The reversal of 100002111022121 is 121220111200001.

It is not a de Polignac number, because 100002111022121 - 2¹⁰ = 100002111021097 is a prime.

It is a super-2 number, since 2×100002111022121² (a number of 29 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 = 100002111022096 and 100002111022105.

It is not an unprimeable number, because it can be changed into a prime (100002111022129) 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, 120760031 + ... + 121585316.

It is an arithmetic number, because the mean of its divisors is an integer number (4083034423104).

Almost surely, 2^{100002111022121} is an apocalyptic number.

100002111022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002111022121 is a deficient number, since it is larger than the sum of its proper divisors (30654990517207).

100002111022121 is a wasteful number, since it uses less digits than its factorization.

100002111022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242345621.

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

Adding to 100002111022121 its reverse (121220111200001), we get a palindrome (221222222222122).

The spelling of 100002111022121 in words is "one hundred trillion, two billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".