1022022022100 has 36 divisors (see below), whose sum is σ = 2218062777084. Its totient is φ = 408758119680.

The previous prime is 1022022022067. The next prime is 1022022022103. The reversal of 1022022022100 is 12202202201.

It can be written as a sum of positive squares in 6 ways, for example, as 1085570704 + 1020936451396 = 32948^2 + 1010414^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022022022103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 182144 + ... + 1441256.

It is an arithmetic number, because the mean of its divisors is an integer number (61612854919).

Almost surely, 2^{1022022022100} is an apocalyptic number.

1022022022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022022022100 is an abundant number, since it is smaller than the sum of its proper divisors (1196040754984).

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

1022022022100 is a wasteful number, since it uses less digits than its factorization.

1022022022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267244 (or 1267237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1022022022100 its reverse (12202202201), we get a palindrome (1034224224301).

The spelling of 1022022022100 in words is "one trillion, twenty-two billion, twenty-two million, twenty-two thousand, one hundred".