10221022222100 has 54 divisors (see below), whose sum is σ = 23561047797210. Its totient is φ = 3847914237440.

The previous prime is 10221022222097. The next prime is 10221022222129. The reversal of 10221022222100 is 122222012201.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 230580515344 + 9990441706756 = 480188^2 + 3160766^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 176805395 + ... + 176863194.

Almost surely, 2^{10221022222100} is an apocalyptic number.

10221022222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221022222100 is an abundant number, since it is smaller than the sum of its proper divisors (13340025575110).

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

10221022222100 is a wasteful number, since it uses less digits than its factorization.

10221022222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353668637 (or 353668613 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10221022222100 its reverse (122222012201), we get a palindrome (10343244234301).

The spelling of 10221022222100 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-two thousand, one hundred".