100222022121102 has 128 divisors (see below), whose sum is σ = 256844271974400. Its totient is φ = 28375673760000.

The previous prime is 100222022121101. The next prime is 100222022121131. The reversal of 100222022121102 is 201121220222001.

It is a happy number.

100222022121102 is a `hidden beast` number, since 10 + 0 + 2 + 220 + 221 + 211 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222022121101) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21198352 + ... + 25491452.

It is an arithmetic number, because the mean of its divisors is an integer number (2006595874800).

Almost surely, 2^{100222022121102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222022121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128422135987200).

100222022121102 is an abundant number, since it is smaller than the sum of its proper divisors (156622249853298).

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

100222022121102 is a wasteful number, since it uses less digits than its factorization.

100222022121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293679 (or 4293673 counting only the distinct ones).

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

Adding to 100222022121102 its reverse (201121220222001), we get a palindrome (301343242343103).

The spelling of 100222022121102 in words is "one hundred trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, one hundred two".