1210122210121 has 48 divisors (see below), whose sum is σ = 1371783392784. Its totient is φ = 1066348800000.

The previous prime is 1210122210119. The next prime is 1210122210173.

1210122210121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 458322230025 + 751799980096 = 676995^2 + 867064^2 .

It is not a de Polignac number, because 1210122210121 - 2¹ = 1210122210119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1210122210095 and 1210122210104.

It is not an unprimeable number, because it can be changed into a prime (1210122210181) 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 47 ways as a sum of consecutive naturals, for example, 122217271 + ... + 122227171.

It is an arithmetic number, because the mean of its divisors is an integer number (28578820683).

Almost surely, 2^{1210122210121} is an apocalyptic number.

1210122210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1210122210121 is a deficient number, since it is larger than the sum of its proper divisors (161661182663).

1210122210121 is a wasteful number, since it uses less digits than its factorization.

1210122210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 10223 counting only the distinct ones).

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

It can be divided in two parts, 12101 and 22210121, that added together give a palindrome (22222222).

The spelling of 1210122210121 in words is "one trillion, two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".