10002101132320 has 96 divisors (see below), whose sum is σ = 25787222596800. Its totient is φ = 3635846538240.

The previous prime is 10002101132267. The next prime is 10002101132327. The reversal of 10002101132320 is 2323110120001.

It is a super-2 number, since 2×10002101132320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10002101132294 and 10002101132303.

It is not an unprimeable number, because it can be changed into a prime (10002101132327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4004206 + ... + 6003154.

It is an arithmetic number, because the mean of its divisors is an integer number (268616902050).

Almost surely, 2^{10002101132320} is an apocalyptic number.

10002101132320 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 10002101132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893611298400).

10002101132320 is an abundant number, since it is smaller than the sum of its proper divisors (15785121464480).

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

10002101132320 is a wasteful number, since it uses less digits than its factorization.

10002101132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001818 (or 2001810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10002101132320 its reverse (2323110120001), we get a palindrome (12325211252321).

The spelling of 10002101132320 in words is "ten trillion, two billion, one hundred one million, one hundred thirty-two thousand, three hundred twenty".