102200020312 has 96 divisors (see below), whose sum is σ = 217655661600. Its totient is φ = 44881993728.

The previous prime is 102200020301. The next prime is 102200020333. The reversal of 102200020312 is 213020002201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102200020292 and 102200020301.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5993014 + ... + 6010042.

It is an arithmetic number, because the mean of its divisors is an integer number (2267246475).

Almost surely, 2^102200020312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108827830800).

102200020312 is an abundant number, since it is smaller than the sum of its proper divisors (115455641288).

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

102200020312 is a wasteful number, since it uses less digits than its factorization.

102200020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17277 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102200020312 its reverse (213020002201), we get a palindrome (315220022513).

The spelling of 102200020312 in words is "one hundred two billion, two hundred million, twenty thousand, three hundred twelve".