122211110001101 has 16 divisors (see below), whose sum is σ = 139134072176640. Its totient is φ = 106258089070320.

The previous prime is 122211110001083. The next prime is 122211110001103. The reversal of 122211110001101 is 101100011112221.

It is a de Polignac number, because none of the positive numbers 2^k-122211110001101 is a prime.

It is a super-3 number, since 3×122211110001101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211110001103) 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, 26110181 + ... + 30432938.

It is an arithmetic number, because the mean of its divisors is an integer number (8695879511040).

Almost surely, 2^{122211110001101} is an apocalyptic number.

122211110001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211110001101 is a deficient number, since it is larger than the sum of its proper divisors (16922962175539).

122211110001101 is a wasteful number, since it uses less digits than its factorization.

122211110001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56551696.

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

Adding to 122211110001101 its reverse (101100011112221), we get a palindrome (223311121113322).

The spelling of 122211110001101 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred ten million, one thousand, one hundred one".