100001221000122 has 128 divisors (see below), whose sum is σ = 222238999019520. Its totient is φ = 29798852348160.

The previous prime is 100001221000097. The next prime is 100001221000139. The reversal of 100001221000122 is 221000122100001.

It is a super-3 number, since 3×100001221000122³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001221000098 and 100001221000107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542628829 + ... + 542813087.

It is an arithmetic number, because the mean of its divisors is an integer number (1736242179840).

Almost surely, 2^{100001221000122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001221000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111119499509760).

100001221000122 is an abundant number, since it is smaller than the sum of its proper divisors (122237778019398).

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

100001221000122 is a wasteful number, since it uses less digits than its factorization.

100001221000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185188.

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

Adding to 100001221000122 its reverse (221000122100001), we get a palindrome (321001343100123).

It can be divided in two parts, 100001 and 221000122, that multiplied together give a palindrome (22100233200122).

The spelling of 100001221000122 in words is "one hundred trillion, one billion, two hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.