100002121122 has 64 divisors (see below), whose sum is σ = 205219961856. Its totient is φ = 32474420160.

The previous prime is 100002121033. The next prime is 100002121123. The reversal of 100002121122 is 221121200001.

It is a junction number, because it is equal to n+sod(n) for n = 100002121098 and 100002121107.

It is not an unprimeable number, because it can be changed into a prime (100002121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33748813 + ... + 33751775.

It is an arithmetic number, because the mean of its divisors is an integer number (3206561904).

Almost surely, 2^100002121122 is an apocalyptic number.

100002121122 is an abundant number, since it is smaller than the sum of its proper divisors (105217840734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100002121122 is a wasteful number, since it uses less digits than its factorization.

100002121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100002121122 its reverse (221121200001), we get a palindrome (321123321123).

The spelling of 100002121122 in words is "one hundred billion, two million, one hundred twenty-one thousand, one hundred twenty-two".