16102721113000 has 128 divisors (see below), whose sum is σ = 39900808396800. Its totient is φ = 6061600896000.

The previous prime is 16102721112931. The next prime is 16102721113001. The reversal of 16102721113000 is 31112720161.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (16102721113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195781885 + ... + 195864115.

It is an arithmetic number, because the mean of its divisors is an integer number (311725065600).

Almost surely, 2^{16102721113000} is an apocalyptic number.

16102721113000 is a gapful number since it is divisible by the number (10) 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 16102721113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950404198400).

16102721113000 is an abundant number, since it is smaller than the sum of its proper divisors (23798087283800).

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

16102721113000 is a wasteful number, since it uses less digits than its factorization.

16102721113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93788 (or 93774 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 16102721113000 its reverse (31112720161), we get a palindrome (16133833833161).

It can be divided in two parts, 1610272 and 1113000, that added together give a palindrome (2723272).

The spelling of 16102721113000 in words is "sixteen trillion, one hundred two billion, seven hundred twenty-one million, one hundred thirteen thousand".