122001121331011 has 24 divisors (see below), whose sum is σ = 140899778975664. Its totient is φ = 105218260392960.

The previous prime is 122001121330999. The next prime is 122001121331021. The reversal of 122001121331011 is 110133121100221.

It is not a de Polignac number, because 122001121331011 - 2¹¹ = 122001121328963 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122001121331011.

It is not an unprimeable number, because it can be changed into a prime (122001121331021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154587105 + ... + 155374306.

It is an arithmetic number, because the mean of its divisors is an integer number (5870824123986).

Almost surely, 2^{122001121331011} is an apocalyptic number.

122001121331011 is a deficient number, since it is larger than the sum of its proper divisors (18898657644653).

122001121331011 is a wasteful number, since it uses less digits than its factorization.

122001121331011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309961591 (or 309961578 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 122001121331011 its reverse (110133121100221), we get a palindrome (232134242431232).

The spelling of 122001121331011 in words is "one hundred twenty-two trillion, one billion, one hundred twenty-one million, three hundred thirty-one thousand, eleven".