102201312 has 48 divisors (see below), whose sum is σ = 273998592. Its totient is φ = 33340800.

The previous prime is 102201311. The next prime is 102201317. The reversal of 102201312 is 213102201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6814 + ... + 15837.

It is an arithmetic number, because the mean of its divisors is an integer number (5708304).

Almost surely, 2^102201312 is an apocalyptic number.

102201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201312 is an abundant number, since it is smaller than the sum of its proper divisors (171797280).

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

102201312 is a wasteful number, since it uses less digits than its factorization.

102201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22711 (or 22703 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102201312 is about 10109.4664547641. The cubic root of 102201312 is about 467.5400550960.

Adding to 102201312 its reverse (213102201), we get a palindrome (315303513).

The spelling of 102201312 in words is "one hundred two million, two hundred one thousand, three hundred twelve".