122201211111111 has 32 divisors (see below), whose sum is σ = 197546270653440. Its totient is φ = 74042828640000.

The previous prime is 122201211111041. The next prime is 122201211111127. The reversal of 122201211111111 is 111111112102221.

122201211111111 is a `hidden beast` number, since 12 + 220 + 1 + 211 + 111 + 111 = 666.

It is not a de Polignac number, because 122201211111111 - 2¹⁰ = 122201211110087 is a prime.

122201211111111 is a modest number, since divided by 11111111 gives 1222012 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201211111151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50230335 + ... + 52606928.

It is an arithmetic number, because the mean of its divisors is an integer number (6173320957920).

Almost surely, 2^{122201211111111} is an apocalyptic number.

122201211111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122201211111111 is a deficient number, since it is larger than the sum of its proper divisors (75345059542329).

122201211111111 is a wasteful number, since it uses less digits than its factorization.

122201211111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102841284 (or 102841278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 122201211111111 its reverse (111111112102221), we get a palindrome (233312323213332).

The spelling of 122201211111111 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred eleven million, one hundred eleven thousand, one hundred eleven".