1102142221536 has 96 divisors (see below), whose sum is σ = 3048040074240. Its totient is φ = 347742388224.

The previous prime is 1102142221513. The next prime is 1102142221549. The reversal of 1102142221536 is 6351222412011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1841041 + ... + 2365103.

It is an arithmetic number, because the mean of its divisors is an integer number (31750417440).

Almost surely, 2^{1102142221536} is an apocalyptic number.

1102142221536 is a gapful number since it is divisible by the number (16) 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 1102142221536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524020037120).

1102142221536 is an abundant number, since it is smaller than the sum of its proper divisors (1945897852704).

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

1102142221536 is a wasteful number, since it uses less digits than its factorization.

1102142221536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525248 (or 525240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1102142221536 its reverse (6351222412011), we get a palindrome (7453364633547).

The spelling of 1102142221536 in words is "one trillion, one hundred two billion, one hundred forty-two million, two hundred twenty-one thousand, five hundred thirty-six".