1010123222121 has 96 divisors (see below), whose sum is σ = 1605827583360. Its totient is φ = 608145408000.

The previous prime is 1010123222117. The next prime is 1010123222131. The reversal of 1010123222121 is 1212223210101.

It is not a de Polignac number, because 1010123222121 - 2² = 1010123222117 is a prime.

It is a super-2 number, since 2×1010123222121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010123222094 and 1010123222103.

It is not an unprimeable number, because it can be changed into a prime (1010123222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 397841670 + ... + 397844208.

It is an arithmetic number, because the mean of its divisors is an integer number (16727370660).

Almost surely, 2^{1010123222121} is an apocalyptic number.

It is an amenable number.

1010123222121 is a deficient number, since it is larger than the sum of its proper divisors (595704361239).

1010123222121 is a wasteful number, since it uses less digits than its factorization.

1010123222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010123222121 its reverse (1212223210101), we get a palindrome (2222346432222).

The spelling of 1010123222121 in words is "one trillion, ten billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty-one".