1010123073792 has 1080 divisors, whose sum is σ = 3648678472824. Its totient is φ = 276908212224.

The previous prime is 1010123073787. The next prime is 1010123073847. The reversal of 1010123073792 is 2973703210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 165017938176 + 845105135616 = 406224^2 + 919296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3646653558 + ... + 3646653834.

Almost surely, 2^{1010123073792} is an apocalyptic number.

1010123073792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010123073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824339236412).

1010123073792 is an abundant number, since it is smaller than the sum of its proper divisors (2638555399032).

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

1010123073792 is an equidigital number, since it uses as much as digits as its factorization.

1010123073792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 1010123073792 its reverse (2973703210101), we get a palindrome (3983826283893).

The spelling of 1010123073792 in words is "one trillion, ten billion, one hundred twenty-three million, seventy-three thousand, seven hundred ninety-two".