10200221222022 has 160 divisors (see below), whose sum is σ = 25043014956960. Its totient is φ = 3083902502400.

The previous prime is 10200221221973. The next prime is 10200221222057. The reversal of 10200221222022 is 22022212200201.

10200221222022 is a `hidden beast` number, since 1 + 0 + 200 + 221 + 2 + 220 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10200221221986 and 10200221222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284896522 + ... + 284932322.

It is an arithmetic number, because the mean of its divisors is an integer number (156518843481).

Almost surely, 2^{10200221222022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200221222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521507478480).

10200221222022 is an abundant number, since it is smaller than the sum of its proper divisors (14842793734938).

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

10200221222022 is a wasteful number, since it uses less digits than its factorization.

10200221222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38180 (or 38171 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10200221222022 its reverse (22022212200201), we get a palindrome (32222433422223).

The spelling of 10200221222022 in words is "ten trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty-two".