22022012100018 has 128 divisors (see below), whose sum is σ = 53158000896000. Its totient is φ = 5941426111488.

The previous prime is 22022012099963. The next prime is 22022012100019. The reversal of 22022012100018 is 81000121022022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22022012099967 and 22022012100003.

It is not an unprimeable number, because it can be changed into a prime (22022012100019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117915533 + ... + 1117935231.

It is an arithmetic number, because the mean of its divisors is an integer number (415296882000).

Almost surely, 2^{22022012100018} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022012100018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26579000448000).

22022012100018 is an abundant number, since it is smaller than the sum of its proper divisors (31135988795982).

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

22022012100018 is a wasteful number, since it uses less digits than its factorization.

22022012100018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24224.

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 22022012100018 in words is "twenty-two trillion, twenty-two billion, twelve million, one hundred thousand, eighteen".