22202021102112 has 216 divisors, whose sum is σ = 65677589113500. Its totient is φ = 7387627493376.

The previous prime is 22202021102101. The next prime is 22202021102123. The reversal of 22202021102112 is 21120112020222.

It is a happy number.

22202021102112 is a `hidden beast` number, since 2 + 220 + 20 + 211 + 0 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22202021102101) and next prime (22202021102123).

It can be written as a sum of positive squares in 2 ways, for example, as 17417634821136 + 4784386280976 = 4173444^2 + 2187324^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119369764 + ... + 119555612.

Almost surely, 2^{22202021102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202021102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32838794556750).

22202021102112 is an abundant number, since it is smaller than the sum of its proper divisors (43475568011388).

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

22202021102112 is an frugal number, since it uses more digits than its factorization.

22202021102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186452 (or 186423 counting only the distinct ones).

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

Adding to 22202021102112 its reverse (21120112020222), we get a palindrome (43322133122334).

The spelling of 22202021102112 in words is "twenty-two trillion, two hundred two billion, twenty-one million, one hundred two thousand, one hundred twelve".