110011211010101 has 2 divisors, whose sum is σ = 110011211010102. Its totient is φ = 110011211010100.

The previous prime is 110011211010097. The next prime is 110011211010133. The reversal of 110011211010101 is 101010112110011.

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., 103728643695076 + 6282567315025 = 10184726^2 + 2506505^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011211010101 - 2² = 110011211010097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110011211010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005605505050 + 55005605505051.

It is an arithmetic number, because the mean of its divisors is an integer number (55005605505051).

Almost surely, 2^{110011211010101} is an apocalyptic number.

It is an amenable number.

110011211010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011211010101 is an equidigital number, since it uses as much as digits as its factorization.

110011211010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110011211010101 its reverse (101010112110011), we get a palindrome (211021323120112).

The spelling of 110011211010101 in words is "one hundred ten trillion, eleven billion, two hundred eleven million, ten thousand, one hundred one".