1102100002201 has 6 divisors (see below), whose sum is σ = 1211399176106. Its totient is φ = 1001909092800.

The previous prime is 1102100002097. The next prime is 1102100002217. The reversal of 1102100002201 is 1022000012011.

It can be written as a sum of positive squares in only one way, i.e., 616576730176 + 485523272025 = 785224^2 + 696795^2 .

It is not a de Polignac number, because 1102100002201 - 2²³ = 1102091613593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102100002271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4554132120 + ... + 4554132361.

Almost surely, 2^{1102100002201} is an apocalyptic number.

1102100002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102100002201 is a deficient number, since it is larger than the sum of its proper divisors (109299173905).

1102100002201 is an equidigital number, since it uses as much as digits as its factorization.

1102100002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108264503 (or 9108264492 counting only the distinct ones).

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

Adding to 1102100002201 its reverse (1022000012011), we get a palindrome (2124100014212).

The spelling of 1102100002201 in words is "one trillion, one hundred two billion, one hundred million, two thousand, two hundred one".