1021725121600 has 168 divisors, whose sum is σ = 2654056424160. Its totient is φ = 386060267520.

The previous prime is 1021725121583. The next prime is 1021725121601. The reversal of 1021725121600 is 61215271201.

It is not an unprimeable number, because it can be changed into a prime (1021725121601) 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 23 ways as a sum of consecutive naturals, for example, 10500372 + ... + 10597228.

Almost surely, 2^{1021725121600} is an apocalyptic number.

1021725121600 is a gapful number since it is divisible by the number (10) 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 1021725121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327028212080).

1021725121600 is an abundant number, since it is smaller than the sum of its proper divisors (1632331302560).

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

1021725121600 is a wasteful number, since it uses less digits than its factorization.

1021725121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97245 (or 97230 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 1021725121600 in words is "one trillion, twenty-one billion, seven hundred twenty-five million, one hundred twenty-one thousand, six hundred".