1082222009401 has 27 divisors (see below), whose sum is σ = 1200405229677. Its totient is φ = 975217894560.

The previous prime is 1082222009377. The next prime is 1082222009459. The reversal of 1082222009401 is 1049002222801.

The square root of 1082222009401 is 1040299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 896136756025 + 186085253376 = 946645^2 + 431376^2 .

It is not a de Polignac number, because 1082222009401 - 2¹³ = 1082222001209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1082222009801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 581526211 + ... + 581528071.

It is an arithmetic number, because the mean of its divisors is an integer number (44459452951).

Almost surely, 2^{1082222009401} is an apocalyptic number.

1082222009401 is the 1040299-th square number.

1082222009401 is the 520150-th centered octagonal number.

It is an amenable number.

1082222009401 is a deficient number, since it is larger than the sum of its proper divisors (118183220276).

1082222009401 is an frugal number, since it uses more digits than its factorization.

1082222009401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 1082222009401 in words is "one trillion, eighty-two billion, two hundred twenty-two million, nine thousand, four hundred one".