100222200022120 has 256 divisors, whose sum is σ = 251336940422400. Its totient is φ = 35662556160000.

The previous prime is 100222200022097. The next prime is 100222200022207. The reversal of 100222200022120 is 21220002222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222200022094 and 100222200022103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12739566427 + ... + 12739574293.

It is an arithmetic number, because the mean of its divisors is an integer number (981784923525).

Almost surely, 2^{100222200022120} is an apocalyptic number.

100222200022120 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 100222200022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125668470211200).

100222200022120 is an abundant number, since it is smaller than the sum of its proper divisors (151114740400280).

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

100222200022120 is a wasteful number, since it uses less digits than its factorization.

100222200022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100222200022120 its reverse (21220002222001), we get a palindrome (121442202244121).

The spelling of 100222200022120 in words is "one hundred trillion, two hundred twenty-two billion, two hundred million, twenty-two thousand, one hundred twenty".