1020116510100 has 54 divisors (see below), whose sum is σ = 3197498530590. Its totient is φ = 272031069120.

The previous prime is 1020116510099. The next prime is 1020116510123. The reversal of 1020116510100 is 10156110201.

It is a happy number.

1020116510100 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 1 + 651 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 262516868496 + 757599641604 = 512364^2 + 870402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 566730495 + ... + 566732294.

Almost surely, 2^{1020116510100} is an apocalyptic number.

1020116510100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020116510100 is an abundant number, since it is smaller than the sum of its proper divisors (2177382020490).

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

1020116510100 is a wasteful number, since it uses less digits than its factorization.

1020116510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133462809 (or 1133462799 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The spelling of 1020116510100 in words is "one trillion, twenty billion, one hundred sixteen million, five hundred ten thousand, one hundred".