122101233331 has 16 divisors (see below), whose sum is σ = 152716497408. Its totient is φ = 94839825600.

The previous prime is 122101233299. The next prime is 122101233337. The reversal of 122101233331 is 133332101221.

It is a cyclic number.

It is not a de Polignac number, because 122101233331 - 2⁵ = 122101233299 is a prime.

It is a super-2 number, since 2×122101233331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101233337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509015 + ... + 2557216.

It is an arithmetic number, because the mean of its divisors is an integer number (9544781088).

Almost surely, 2^122101233331 is an apocalyptic number.

122101233331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101233331 is a deficient number, since it is larger than the sum of its proper divisors (30615264077).

122101233331 is a wasteful number, since it uses less digits than its factorization.

122101233331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066562.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122101233331 its reverse (133332101221), we get a palindrome (255433334552).

The spelling of 122101233331 in words is "one hundred twenty-two billion, one hundred one million, two hundred thirty-three thousand, three hundred thirty-one".