122200221211101 has 24 divisors (see below), whose sum is σ = 193082605382784. Its totient is φ = 73858939724160.

The previous prime is 122200221211051. The next prime is 122200221211147. The reversal of 122200221211101 is 101112122002221.

122200221211101 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 221 + 211 + 10 + 1 = 666.

It is not a de Polignac number, because 122200221211101 - 2¹³ = 122200221202909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200221221101) 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 23 ways as a sum of consecutive naturals, for example, 1681633516 + ... + 1681706181.

It is an arithmetic number, because the mean of its divisors is an integer number (8045108557616).

Almost surely, 2^{122200221211101} is an apocalyptic number.

122200221211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122200221211101 is a deficient number, since it is larger than the sum of its proper divisors (70882384171683).

122200221211101 is a wasteful number, since it uses less digits than its factorization.

122200221211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363340081 (or 3363340078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122200221211101 its reverse (101112122002221), we get a palindrome (223312343213322).

The spelling of 122200221211101 in words is "one hundred twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred eleven thousand, one hundred one".