1102201302312 has 160 divisors (see below), whose sum is σ = 3367826064000. Its totient is φ = 333999436320.

The previous prime is 1102201302259. The next prime is 1102201302317. The reversal of 1102201302312 is 2132031022011.

1102201302312 is a `hidden beast` number, since 1 + 1 + 0 + 220 + 130 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1102201302317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2988193 + ... + 3336719.

It is an arithmetic number, because the mean of its divisors is an integer number (21048912900).

Almost surely, 2^{1102201302312} is an apocalyptic number.

1102201302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102201302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683913032000).

1102201302312 is an abundant number, since it is smaller than the sum of its proper divisors (2265624761688).

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

1102201302312 is an equidigital number, since it uses as much as digits as its factorization.

1102201302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348586 (or 348543 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1102201302312 its reverse (2132031022011), we get a palindrome (3234232324323).

The spelling of 1102201302312 in words is "one trillion, one hundred two billion, two hundred one million, three hundred two thousand, three hundred twelve".