10002160709100 has 432 divisors, whose sum is σ = 36017256970240. Its totient is φ = 2274284044800.

The previous prime is 10002160709059. The next prime is 10002160709131. The reversal of 10002160709100 is 190706120001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1210471569 + ... + 1210479831.

Almost surely, 2^{10002160709100} is an apocalyptic number.

10002160709100 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 10002160709100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008628485120).

10002160709100 is an abundant number, since it is smaller than the sum of its proper divisors (26015096261140).

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

10002160709100 is a wasteful number, since it uses less digits than its factorization.

10002160709100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 10002160709100 its reverse (190706120001), we get a palindrome (10192866829101).

The spelling of 10002160709100 in words is "ten trillion, two billion, one hundred sixty million, seven hundred nine thousand, one hundred".