2211210121122 has 48 divisors (see below), whose sum is σ = 4931804787000. Its totient is φ = 715492901376.

The previous prime is 2211210121069. The next prime is 2211210121123.

2211210121122 is a `hidden beast` number, since 2 + 211 + 210 + 121 + 122 = 666.

2211210121122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2092365143001 + 118844978121 = 1446501^2 + 344739^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211210121095 and 2211210121104.

It is not an unprimeable number, because it can be changed into a prime (2211210121123) 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 23 ways as a sum of consecutive naturals, for example, 3545497 + ... + 4122252.

Almost surely, 2^{2211210121122} is an apocalyptic number.

2211210121122 is an abundant number, since it is smaller than the sum of its proper divisors (2720594665878).

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

2211210121122 is a wasteful number, since it uses less digits than its factorization.

2211210121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668227 (or 7668224 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2211210 and 121122, that added together give a palindrome (2332332).

The spelling of 2211210121122 in words is "two trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty-two".