22022100010350 has 288 divisors, whose sum is σ = 66242726113824. Its totient is φ = 5199719116800.

The previous prime is 22022100010321. The next prime is 22022100010369. The reversal of 22022100010350 is 5301000122022.

22022100010350 is a `hidden beast` number, since 2 + 202 + 2 + 100 + 0 + 10 + 350 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35635594 + ... + 36248306.

It is an arithmetic number, because the mean of its divisors is an integer number (230009465673).

Almost surely, 2^{22022100010350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022100010350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33121363056912).

22022100010350 is an abundant number, since it is smaller than the sum of its proper divisors (44220626103474).

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

22022100010350 is a wasteful number, since it uses less digits than its factorization.

22022100010350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612932 (or 612924 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 22022100010350 its reverse (5301000122022), we get a palindrome (27323100132372).

The spelling of 22022100010350 in words is "twenty-two trillion, twenty-two billion, one hundred million, ten thousand, three hundred fifty".