100222120102000 has 160 divisors (see below), whose sum is σ = 260997798821760. Its totient is φ = 37002339993600.

The previous prime is 100222120101979. The next prime is 100222120102001. The reversal of 100222120102000 is 201021222001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222120102001) 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 31 ways as a sum of consecutive naturals, for example, 367841821 + ... + 368114179.

It is an arithmetic number, because the mean of its divisors is an integer number (1631236242636).

Almost surely, 2^{100222120102000} is an apocalyptic number.

100222120102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222120102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130498899410880).

100222120102000 is an abundant number, since it is smaller than the sum of its proper divisors (160775678719760).

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

100222120102000 is a wasteful number, since it uses less digits than its factorization.

100222120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286548 (or 286532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100222120102000 its reverse (201021222001), we get a palindrome (100423141324001).

The spelling of 100222120102000 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty million, one hundred two thousand".