1100100110201 has 2 divisors, whose sum is σ = 1100100110202. Its totient is φ = 1100100110200.

The previous prime is 1100100110177. The next prime is 1100100110233. The reversal of 1100100110201 is 1020110010011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 837673410025 + 262426700176 = 915245^2 + 512276^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100100110201 - 2¹⁴ = 1100100093817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100100115201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050055100 + 550050055101.

It is an arithmetic number, because the mean of its divisors is an integer number (550050055101).

Almost surely, 2^{1100100110201} is an apocalyptic number.

It is an amenable number.

1100100110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100100110201 is an equidigital number, since it uses as much as digits as its factorization.

1100100110201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100100110201 its reverse (1020110010011), we get a palindrome (2120210120212).

The spelling of 1100100110201 in words is "one trillion, one hundred billion, one hundred million, one hundred ten thousand, two hundred one".