100100222211222 has 96 divisors (see below), whose sum is σ = 232616040737184. Its totient is φ = 30999120768000.

The previous prime is 100100222211127. The next prime is 100100222211251. The reversal of 100100222211222 is 222112222001001.

It is a happy number.

100100222211222 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 222 + 211 + 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 = 100100222211195 and 100100222211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5337348 + ... + 15122424.

It is an arithmetic number, because the mean of its divisors is an integer number (2423083757679).

Almost surely, 2^{100100222211222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100222211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116308020368592).

100100222211222 is an abundant number, since it is smaller than the sum of its proper divisors (132515818525962).

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

100100222211222 is a wasteful number, since it uses less digits than its factorization.

100100222211222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785534 (or 9785531 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100100222211222 its reverse (222112222001001), we get a palindrome (322212444212223).

The spelling of 100100222211222 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty-two".