100001221122 has 64 divisors (see below), whose sum is σ = 224220847104. Its totient is φ = 29466037440.

The previous prime is 100001221081. The next prime is 100001221123. The reversal of 100001221122 is 221122100001.

It is a super-2 number, since 2×100001221122² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001221098 and 100001221107.

It is not an unprimeable number, because it can be changed into a prime (100001221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195683 + ... + 4219449.

It is an arithmetic number, because the mean of its divisors is an integer number (3503450736).

Almost surely, 2^100001221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112110423552).

100001221122 is an abundant number, since it is smaller than the sum of its proper divisors (124219625982).

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

100001221122 is a wasteful number, since it uses less digits than its factorization.

100001221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25543.

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

Adding to 100001221122 its reverse (221122100001), we get a palindrome (321123321123).

It can be divided in two parts, 100001 and 221122, that multiplied together give a palindrome (22112421122).

The spelling of 100001221122 in words is "one hundred billion, one million, two hundred twenty-one thousand, one hundred twenty-two".