11000101112201 has 2 divisors, whose sum is σ = 11000101112202. Its totient is φ = 11000101112200.

The previous prime is 11000101112179. The next prime is 11000101112269. The reversal of 11000101112201 is 10221110100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6344328252025 + 4655772860176 = 2518795^2 + 2157724^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000101112201 - 2²⁶ = 11000034003337 is a prime.

It is not a weakly prime, because it can be changed into another prime (11000101132201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500050556100 + 5500050556101.

It is an arithmetic number, because the mean of its divisors is an integer number (5500050556101).

Almost surely, 2^{11000101112201} is an apocalyptic number.

It is an amenable number.

11000101112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000101112201 is an equidigital number, since it uses as much as digits as its factorization.

11000101112201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11000101112201 its reverse (10221110100011), we get a palindrome (21221211212212).

The spelling of 11000101112201 in words is "eleven trillion, one hundred one million, one hundred twelve thousand, two hundred one".