21220122102228 has 180 divisors, whose sum is σ = 62660853702720. Its totient is φ = 6054669619488.

The previous prime is 21220122102227. The next prime is 21220122102229. The reversal of 21220122102228 is 82220122102212.

21220122102228 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 2 + 210 + 2 + 228 = 666.

It is an interprime number because it is at equal distance from previous prime (21220122102227) and next prime (21220122102229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220122102227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63710101 + ... + 64042307.

It is an arithmetic number, because the mean of its divisors is an integer number (348115853904).

Almost surely, 2^{21220122102228} is an apocalyptic number.

21220122102228 is a gapful number since it is divisible by the number (28) 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 21220122102228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31330426851360).

21220122102228 is an abundant number, since it is smaller than the sum of its proper divisors (41440731600492).

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

21220122102228 is a wasteful number, since it uses less digits than its factorization.

21220122102228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332984 (or 332958 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 21220122102228 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-eight".