122011111002133 has 8 divisors (see below), whose sum is σ = 123812278417368. Its totient is φ = 120213451217664.

The previous prime is 122011111002073. The next prime is 122011111002139. The reversal of 122011111002133 is 331200111110221.

It can be written as a sum of positive squares in 4 ways, for example, as 596760885009 + 121414350117124 = 772503^2 + 11018818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122011111002133 - 2³³ = 122002521067541 is a prime.

It is a super-2 number, since 2×122011111002133² (a number of 29 digits) contains 22 as substring.

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 122011111002133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011111002139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876837610 + ... + 876976747.

It is an arithmetic number, because the mean of its divisors is an integer number (15476534802171).

Almost surely, 2^{122011111002133} is an apocalyptic number.

It is an amenable number.

122011111002133 is a deficient number, since it is larger than the sum of its proper divisors (1801167415235).

122011111002133 is an equidigital number, since it uses as much as digits as its factorization.

122011111002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753815383.

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

Adding to 122011111002133 its reverse (331200111110221), we get a palindrome (453211222112354).

The spelling of 122011111002133 in words is "one hundred twenty-two trillion, eleven billion, one hundred eleven million, two thousand, one hundred thirty-three".