1022222104100 has 72 divisors (see below), whose sum is σ = 2225828241000. Its totient is φ = 407489152000.

The previous prime is 1022222104093. The next prime is 1022222104103. The reversal of 1022222104100 is 14012222201.

It can be written as a sum of positive squares in 12 ways, for example, as 33995246884 + 988226857216 = 184378^2 + 994096^2 .

It is a super-2 number, since 2×1022222104100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022222104103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35666576 + ... + 35695224.

It is an arithmetic number, because the mean of its divisors is an integer number (30914281125).

Almost surely, 2^{1022222104100} is an apocalyptic number.

1022222104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022222104100 is an abundant number, since it is smaller than the sum of its proper divisors (1203606136900).

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

1022222104100 is a wasteful number, since it uses less digits than its factorization.

1022222104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29873 (or 29866 counting only the distinct ones).

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

Adding to 1022222104100 its reverse (14012222201), we get a palindrome (1036234326301).

The spelling of 1022222104100 in words is "one trillion, twenty-two billion, two hundred twenty-two million, one hundred four thousand, one hundred".