1022121310122 has 96 divisors (see below), whose sum is σ = 2499635998080. Its totient is φ = 299004773760.

The previous prime is 1022121310117. The next prime is 1022121310127. The reversal of 1022121310122 is 2210131212201.

1022121310122 is a `hidden beast` number, since 10 + 221 + 2 + 1 + 310 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (1022121310117) and next prime (1022121310127).

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 = 1022121310095 and 1022121310104.

It is not an unprimeable number, because it can be changed into a prime (1022121310127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51283323 + ... + 51303249.

It is an arithmetic number, because the mean of its divisors is an integer number (26037874980).

Almost surely, 2^{1022121310122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022121310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249817999040).

1022121310122 is an abundant number, since it is smaller than the sum of its proper divisors (1477514687958).

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

1022121310122 is a wasteful number, since it uses less digits than its factorization.

1022121310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28908 (or 28905 counting only the distinct ones).

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

Adding to 1022121310122 its reverse (2210131212201), we get a palindrome (3232252522323).

The spelling of 1022121310122 in words is "one trillion, twenty-two billion, one hundred twenty-one million, three hundred ten thousand, one hundred twenty-two".