1020103312122 has 24 divisors (see below), whose sum is σ = 2219029525440. Its totient is φ = 338679717000.

The previous prime is 1020103312097. The next prime is 1020103312169. The reversal of 1020103312122 is 2212133010201.

1020103312122 is a `hidden beast` number, since 10 + 201 + 0 + 331 + 2 + 122 = 666.

It is a super-2 number, since 2×1020103312122² (a number of 25 digits) contains 22 as substring.

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 = 1020103312095 and 1020103312104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112888722 + ... + 112897757.

It is an arithmetic number, because the mean of its divisors is an integer number (92459563560).

Almost surely, 2^{1020103312122} is an apocalyptic number.

1020103312122 is an abundant number, since it is smaller than the sum of its proper divisors (1198926213318).

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

1020103312122 is a wasteful number, since it uses less digits than its factorization.

1020103312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225786738 (or 225786735 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020103312122 its reverse (2212133010201), we get a palindrome (3232236322323).

The spelling of 1020103312122 in words is "one trillion, twenty billion, one hundred three million, three hundred twelve thousand, one hundred twenty-two".