312101102002200 has 96 divisors (see below), whose sum is σ = 1105729618536960. Its totient is φ = 71337394742400.

The previous prime is 312101102002147. The next prime is 312101102002201. The reversal of 312101102002200 is 2200201101213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312101102002200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101102002201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37154888896 + ... + 37154897295.

It is an arithmetic number, because the mean of its divisors is an integer number (11518016859760).

Almost surely, 2^{312101102002200} is an apocalyptic number.

312101102002200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312101102002200 is an abundant number, since it is smaller than the sum of its proper divisors (793628516534760).

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

312101102002200 is a wasteful number, since it uses less digits than its factorization.

312101102002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74309786217 (or 74309786208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 312101102002200 its reverse (2200201101213), we get a palindrome (314301303103413).

The spelling of 312101102002200 in words is "three hundred twelve trillion, one hundred one billion, one hundred two million, two thousand, two hundred".