100220002222122 has 192 divisors, whose sum is σ = 227812106340000. Its totient is φ = 31813105065984.

The previous prime is 100220002222079. The next prime is 100220002222127. The reversal of 100220002222122 is 221222200022001.

100220002222122 is a `hidden beast` number, since 10 + 0 + 220 + 0 + 0 + 222 + 212 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4619537774721 + 95600464447401 = 2149311^2 + 9777549^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100220002222095 and 100220002222104.

It is not an unprimeable number, because it can be changed into a prime (100220002222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2587705654 + ... + 2587744382.

Almost surely, 2^{100220002222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220002222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113906053170000).

100220002222122 is an abundant number, since it is smaller than the sum of its proper divisors (127592104117878).

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

100220002222122 is a wasteful number, since it uses less digits than its factorization.

100220002222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39305 (or 39302 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100220002222122 its reverse (221222200022001), we get a palindrome (321442202244123).

The spelling of 100220002222122 in words is "one hundred trillion, two hundred twenty billion, two million, two hundred twenty-two thousand, one hundred twenty-two".