122100011101211 has 16 divisors (see below), whose sum is σ = 143446925757408. Its totient is φ = 102461005728000.

The previous prime is 122100011101183. The next prime is 122100011101253. The reversal of 122100011101211 is 112101110001221.

It is a cyclic number.

It is not a de Polignac number, because 122100011101211 - 2³⁰ = 122098937359387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122100011100211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26108111 + ... + 30427511.

It is an arithmetic number, because the mean of its divisors is an integer number (8965432859838).

Almost surely, 2^{122100011101211} is an apocalyptic number.

122100011101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122100011101211 is a deficient number, since it is larger than the sum of its proper divisors (21346914656197).

122100011101211 is a wasteful number, since it uses less digits than its factorization.

122100011101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517102.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122100011101211 its reverse (112101110001221), we get a palindrome (234201121102432).

The spelling of 122100011101211 in words is "one hundred twenty-two trillion, one hundred billion, eleven million, one hundred one thousand, two hundred eleven".