122212221022100 has 144 divisors (see below), whose sum is σ = 293897453942400. Its totient is φ = 43741477440000.

The previous prime is 122212221022097. The next prime is 122212221022103. The reversal of 122212221022100 is 1220122212221.

It is an interprime number because it is at equal distance from previous prime (122212221022097) and next prime (122212221022103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212221022103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14729786 + ... + 21480014.

Almost surely, 2^{122212221022100} is an apocalyptic number.

122212221022100 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 122212221022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146948726971200).

122212221022100 is an abundant number, since it is smaller than the sum of its proper divisors (171685232920300).

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

122212221022100 is a wasteful number, since it uses less digits than its factorization.

122212221022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750514 (or 6750507 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122212221022100 its reverse (1220122212221), we get a palindrome (123432343234321).

It can be divided in two parts, 1222122 and 21022100, that added together give a palindrome (22244222).

The spelling of 122212221022100 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred".