2122000002122 has 128 divisors (see below), whose sum is σ = 4502934374400. Its totient is φ = 722295532800.

The previous prime is 2122000002097. The next prime is 2122000002127. The reversal of 2122000002122 is 2212000002212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2122000002097 and 2122000002106.

It is not an unprimeable number, because it can be changed into a prime (2122000002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40332029 + ... + 40384607.

It is an arithmetic number, because the mean of its divisors is an integer number (35179174800).

Almost surely, 2^{2122000002122} is an apocalyptic number.

2122000002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2122000002122 is an abundant number, since it is smaller than the sum of its proper divisors (2380934372278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122000002122 is a wasteful number, since it uses less digits than its factorization.

2122000002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53692.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122000002122 its reverse (2212000002212), we get a palindrome (4334000004334).

The spelling of 2122000002122 in words is "two trillion, one hundred twenty-two billion, two thousand, one hundred twenty-two".