1100020012201 has 12 divisors (see below), whose sum is σ = 1216814283076. Its totient is φ = 993648633120.

The previous prime is 1100020012199. The next prime is 1100020012249. The reversal of 1100020012201 is 1022100200011.

It can be written as a sum of positive squares in 2 ways, for example, as 382443296400 + 717576715801 = 618420^2 + 847099^2 .

It is not a de Polignac number, because 1100020012201 - 2¹ = 1100020012199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100020012901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28933470 + ... + 28971463.

Almost surely, 2^{1100020012201} is an apocalyptic number.

1100020012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100020012201 is a deficient number, since it is larger than the sum of its proper divisors (116794270875).

1100020012201 is a wasteful number, since it uses less digits than its factorization.

1100020012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57905112 (or 57905101 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100020012201 its reverse (1022100200011), we get a palindrome (2122120212212).

The spelling of 1100020012201 in words is "one trillion, one hundred billion, twenty million, twelve thousand, two hundred one".