100000100222022 has 384 divisors, whose sum is σ = 281355523384320. Its totient is φ = 23274748707840.

The previous prime is 100000100221981. The next prime is 100000100222063. The reversal of 100000100222022 is 220222001000001.

It is an interprime number because it is at equal distance from previous prime (100000100221981) and next prime (100000100222063).

It is a super-5 number, since 5×100000100222022⁵ (a number of 71 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100000100221989 and 100000100222007.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 682814988 + ... + 682961424.

It is an arithmetic number, because the mean of its divisors is an integer number (732696675480).

Almost surely, 2^{100000100222022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000100222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140677761692160).

100000100222022 is an abundant number, since it is smaller than the sum of its proper divisors (181355423162298).

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

100000100222022 is a wasteful number, since it uses less digits than its factorization.

100000100222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146956 (or 146949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100000100222022 its reverse (220222001000001), we get a palindrome (320222101222023).

The spelling of 100000100222022 in words is "one hundred trillion, one hundred million, two hundred twenty-two thousand, twenty-two".