122021121002011 has 96 divisors (see below), whose sum is σ = 156914215773696. Its totient is φ = 92168375040000.

The previous prime is 122021121001957. The next prime is 122021121002041. The reversal of 122021121002011 is 110200121120221.

It is not a de Polignac number, because 122021121002011 - 2²⁷ = 122020986784283 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122021121002041) 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 95 ways as a sum of consecutive naturals, for example, 5677766976 + ... + 5677788466.

It is an arithmetic number, because the mean of its divisors is an integer number (1634523080976).

Almost surely, 2^{122021121002011} is an apocalyptic number.

122021121002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122021121002011 is a deficient number, since it is larger than the sum of its proper divisors (34893094771685).

122021121002011 is a wasteful number, since it uses less digits than its factorization.

122021121002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21893 (or 21820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122021121002011 its reverse (110200121120221), we get a palindrome (232221242122232).

It can be divided in two parts, 1220211 and 21002011, that added together give a palindrome (22222222).

The spelling of 122021121002011 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty-one million, two thousand, eleven".