2135193112900 has 81 divisors (see below), whose sum is σ = 4735572053079. Its totient is φ = 835636522560.

The previous prime is 2135193112889. The next prime is 2135193112907. The reversal of 2135193112900 is 92113915312.

The square root of 2135193112900 is 1461230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 477732557124 + 1657460555776 = 691182^2 + 1287424^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2135193112900.

It is not an unprimeable number, because it can be changed into a prime (2135193112907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 686776546 + ... + 686779654.

Almost surely, 2^{2135193112900} is an apocalyptic number.

2135193112900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2135193112900 is the 1461230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135193112900

2135193112900 is an abundant number, since it is smaller than the sum of its proper divisors (2600378940179).

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

2135193112900 is an frugal number, since it uses more digits than its factorization.

2135193112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 2135193112900 in words is "two trillion, one hundred thirty-five billion, one hundred ninety-three million, one hundred twelve thousand, nine hundred".