1002721010500 has 72 divisors (see below), whose sum is σ = 2407127230872. Its totient is φ = 364625800000.

The previous prime is 1002721010471. The next prime is 1002721010507. The reversal of 1002721010500 is 50101272001.

1002721010500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 113788830276 + 888932180224 = 337326^2 + 942832^2 .

It is a super-2 number, since 2×1002721010500² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002721010507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8226451 + ... + 8347450.

It is an arithmetic number, because the mean of its divisors is an integer number (33432322651).

Almost surely, 2^{1002721010500} is an apocalyptic number.

1002721010500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002721010500 is an abundant number, since it is smaller than the sum of its proper divisors (1404406220372).

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

1002721010500 is a wasteful number, since it uses less digits than its factorization.

1002721010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16573942 (or 16573919 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 1002721010500 its reverse (50101272001), we get a palindrome (1052822282501).

The spelling of 1002721010500 in words is "one trillion, two billion, seven hundred twenty-one million, ten thousand, five hundred".