200312122313100 has 144 divisors (see below), whose sum is σ = 662371229305856. Its totient is φ = 45785226240000.

The previous prime is 200312122313059. The next prime is 200312122313101. The reversal of 200312122313100 is 1313221213002.

It is a super-2 number, since 2×200312122313100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (200312122313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285482700 + ... + 286183500.

Almost surely, 2^{200312122313100} is an apocalyptic number.

200312122313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200312122313100 is an abundant number, since it is smaller than the sum of its proper divisors (462059106992756).

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

200312122313100 is a wasteful number, since it uses less digits than its factorization.

200312122313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836936 (or 836929 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 200312122313100 its reverse (1313221213002), we get a palindrome (201625343526102).

The spelling of 200312122313100 in words is "two hundred trillion, three hundred twelve billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred".