100002012100122 has 64 divisors (see below), whose sum is σ = 221240707430400. Its totient is φ = 29879650454400.

The previous prime is 100002012100063. The next prime is 100002012100129. The reversal of 100002012100122 is 221001210200001.

It is a junction number, because it is equal to n+sod(n) for n = 100002012100098 and 100002012100107.

It is not an unprimeable number, because it can be changed into a prime (100002012100129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13162879 + ... + 19320077.

It is an arithmetic number, because the mean of its divisors is an integer number (3456886053600).

Almost surely, 2^{100002012100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002012100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110620353715200).

100002012100122 is an abundant number, since it is smaller than the sum of its proper divisors (121238695330278).

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

100002012100122 is a wasteful number, since it uses less digits than its factorization.

100002012100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160659.

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

Adding to 100002012100122 its reverse (221001210200001), we get a palindrome (321003222300123).

The spelling of 100002012100122 in words is "one hundred trillion, two billion, twelve million, one hundred thousand, one hundred twenty-two".