10222202222100 has 864 divisors, whose sum is σ = 36992912302080. Its totient is φ = 2418633043200.

The previous prime is 10222202222093. The next prime is 10222202222101. The reversal of 10222202222100 is 122220222201.

10222202222100 is a `hidden beast` number, since 10 + 2 + 2 + 220 + 222 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222202222101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7477835617 + ... + 7477836983.

It is an arithmetic number, because the mean of its divisors is an integer number (42815870720).

Almost surely, 2^{10222202222100} is an apocalyptic number.

10222202222100 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 10222202222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496456151040).

10222202222100 is an abundant number, since it is smaller than the sum of its proper divisors (26770710079980).

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

10222202222100 is a wasteful number, since it uses less digits than its factorization.

10222202222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1922 counting only the distinct ones).

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

Adding to 10222202222100 its reverse (122220222201), we get a palindrome (10344422444301).

The spelling of 10222202222100 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, two hundred twenty-two thousand, one hundred".