110001011211201 has 32 divisors (see below), whose sum is σ = 160043515632000. Its totient is φ = 66649763348480.

The previous prime is 110001011211191. The next prime is 110001011211251. The reversal of 110001011211201 is 102112110100011.

It is a cyclic number.

It is not a de Polignac number, because 110001011211201 - 2¹³ = 110001011203009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110001011211251) 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 in 31 ways as a sum of consecutive naturals, for example, 2506323865 + ... + 2506367753.

It is an arithmetic number, because the mean of its divisors is an integer number (5001359863500).

Almost surely, 2^{110001011211201} is an apocalyptic number.

110001011211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001011211201 is a deficient number, since it is larger than the sum of its proper divisors (50042504420799).

110001011211201 is a wasteful number, since it uses less digits than its factorization.

110001011211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62129.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110001011211201 its reverse (102112110100011), we get a palindrome (212113121311212).

The spelling of 110001011211201 in words is "one hundred ten trillion, one billion, eleven million, two hundred eleven thousand, two hundred one".