1002145350100 has 36 divisors (see below), whose sum is σ = 2174753674044. Its totient is φ = 400840026880.

The previous prime is 1002145350091. The next prime is 1002145350133. The reversal of 1002145350100 is 10535412001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 104688485136 + 897456864964 = 323556^2 + 947342^2 .

It is a congruent number.

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, 2118552 + ... + 2548048.

It is an arithmetic number, because the mean of its divisors is an integer number (60409824279).

Almost surely, 2^{1002145350100} is an apocalyptic number.

1002145350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002145350100 is an abundant number, since it is smaller than the sum of its proper divisors (1172608323944).

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

1002145350100 is a wasteful number, since it uses less digits than its factorization.

1002145350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452844 (or 452837 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 1002145350100 in words is "one trillion, two billion, one hundred forty-five million, three hundred fifty thousand, one hundred".