122121101011 has 16 divisors (see below), whose sum is σ = 158213574400. Its totient is φ = 91537851168.

The previous prime is 122121100987. The next prime is 122121101023. The reversal of 122121101011 is 110101121221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122121101011 - 2⁷ = 122121100883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 122121100982 and 122121101000.

It is not an unprimeable number, because it can be changed into a prime (122121101411) 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, 35313801 + ... + 35317258.

It is an arithmetic number, because the mean of its divisors is an integer number (9888348400).

Almost surely, 2^122121101011 is an apocalyptic number.

122121101011 is a deficient number, since it is larger than the sum of its proper divisors (36092473389).

122121101011 is a wasteful number, since it uses less digits than its factorization.

122121101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70631098.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122121101011 its reverse (110101121221), we get a palindrome (232222222232).

The spelling of 122121101011 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, eleven".