1101101211201 has 16 divisors (see below), whose sum is σ = 1472993487360. Its totient is φ = 731641943040.

The previous prime is 1101101211193. The next prime is 1101101211209. The reversal of 1101101211201 is 1021121011011.

It is an interprime number because it is at equal distance from previous prime (1101101211193) and next prime (1101101211209).

It is not a de Polignac number, because 1101101211201 - 2³ = 1101101211193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101101211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713121 + ... + 1646433.

It is an arithmetic number, because the mean of its divisors is an integer number (92062092960).

Almost surely, 2^{1101101211201} is an apocalyptic number.

It is an amenable number.

1101101211201 is a deficient number, since it is larger than the sum of its proper divisors (371892276159).

1101101211201 is an equidigital number, since it uses as much as digits as its factorization.

1101101211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934616.

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

Adding to 1101101211201 its reverse (1021121011011), we get a palindrome (2122222222212).

The spelling of 1101101211201 in words is "one trillion, one hundred one billion, one hundred one million, two hundred eleven thousand, two hundred one".