1020100222205 has 16 divisors (see below), whose sum is σ = 1233982856304. Its totient is φ = 809531473920.

The previous prime is 1020100222117. The next prime is 1020100222213. The reversal of 1020100222205 is 5022220010201.

It can be written as a sum of positive squares in 8 ways, for example, as 93697822201 + 926402400004 = 306101^2 + 962498^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1020100222205 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1337312 + ... + 1956681.

It is an arithmetic number, because the mean of its divisors is an integer number (77123928519).

Almost surely, 2^{1020100222205} is an apocalyptic number.

It is an amenable number.

1020100222205 is a deficient number, since it is larger than the sum of its proper divisors (213882634099).

1020100222205 is a wasteful number, since it uses less digits than its factorization.

1020100222205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294496.

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 1020100222205 its reverse (5022220010201), we get a palindrome (6042320232406).

The spelling of 1020100222205 in words is "one trillion, twenty billion, one hundred million, two hundred twenty-two thousand, two hundred five".