100022011311222 has 384 divisors, whose sum is σ = 303297655385088. Its totient is φ = 22984891776000.

The previous prime is 100022011311191. The next prime is 100022011311251. The reversal of 100022011311222 is 222113110220001.

100022011311222 is a `hidden beast` number, since 100 + 0 + 2 + 20 + 11 + 311 + 222 = 666.

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 = 100022011311195 and 100022011311204.

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, 43546972 + ... + 45786272.

It is an arithmetic number, because the mean of its divisors is an integer number (789837644232).

Almost surely, 2^{100022011311222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022011311222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151648827692544).

100022011311222 is an abundant number, since it is smaller than the sum of its proper divisors (203275644073866).

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

100022011311222 is a wasteful number, since it uses less digits than its factorization.

100022011311222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239444 (or 2239441 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100022011311222 its reverse (222113110220001), we get a palindrome (322135121531223).

The spelling of 100022011311222 in words is "one hundred trillion, twenty-two billion, eleven million, three hundred eleven thousand, two hundred twenty-two".