122110011100101 has 64 divisors (see below), whose sum is σ = 180336468453120. Its totient is φ = 73195766691840.

The previous prime is 122110011100067. The next prime is 122110011100109. The reversal of 122110011100101 is 101001110011221.

It is not a de Polignac number, because 122110011100101 - 2¹⁰ = 122110011099077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110011100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553031815 + ... + 553252571.

It is an arithmetic number, because the mean of its divisors is an integer number (2817757319580).

Almost surely, 2^{122110011100101} is an apocalyptic number.

It is an amenable number.

122110011100101 is a deficient number, since it is larger than the sum of its proper divisors (58226457353019).

122110011100101 is a wasteful number, since it uses less digits than its factorization.

122110011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227254.

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

Adding to 122110011100101 its reverse (101001110011221), we get a palindrome (223111121111322).

The spelling of 122110011100101 in words is "one hundred twenty-two trillion, one hundred ten billion, eleven million, one hundred thousand, one hundred one".