211300099140 has 96 divisors (see below), whose sum is σ = 637338562560. Its totient is φ = 51997026816.

The previous prime is 211300099139. The next prime is 211300099229. The reversal of 211300099140 is 41990003112.

211300099140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211300099098 and 211300099107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2736381 + ... + 2812539.

It is an arithmetic number, because the mean of its divisors is an integer number (6638943360).

Almost surely, 2^211300099140 is an apocalyptic number.

211300099140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300099140 is an abundant number, since it is smaller than the sum of its proper divisors (426038463420).

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

211300099140 is a wasteful number, since it uses less digits than its factorization.

211300099140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79741 (or 79739 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 211300099140 in words is "two hundred eleven billion, three hundred million, ninety-nine thousand, one hundred forty".