210157975842100 has 144 divisors (see below), whose sum is σ = 535901428238400. Its totient is φ = 70525307980800.

The previous prime is 210157975842079. The next prime is 210157975842137. The reversal of 210157975842100 is 1248579751012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56823024 + ... + 60408376.

It is an arithmetic number, because the mean of its divisors is an integer number (3721537696100).

Almost surely, 2^{210157975842100} is an apocalyptic number.

210157975842100 is a gapful number since it is divisible by the number (20) 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 210157975842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267950714119200).

210157975842100 is an abundant number, since it is smaller than the sum of its proper divisors (325743452396300).

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

210157975842100 is a wasteful number, since it uses less digits than its factorization.

210157975842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589490 (or 3589483 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 52.

The spelling of 210157975842100 in words is "two hundred ten trillion, one hundred fifty-seven billion, nine hundred seventy-five million, eight hundred forty-two thousand, one hundred".