10102113033320 has 256 divisors, whose sum is σ = 29004504883200. Its totient is φ = 3074734172160.

The previous prime is 10102113033307. The next prime is 10102113033403. The reversal of 10102113033320 is 2333031120101.

It is a super-2 number, since 2×10102113033320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10102113033292 and 10102113033301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806420897 + ... + 806433423.

It is an arithmetic number, because the mean of its divisors is an integer number (113298847200).

Almost surely, 2^{10102113033320} is an apocalyptic number.

10102113033320 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 10102113033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502252441600).

10102113033320 is an abundant number, since it is smaller than the sum of its proper divisors (18902391849880).

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

10102113033320 is a wasteful number, since it uses less digits than its factorization.

10102113033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18688 (or 18684 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10102113033320 its reverse (2333031120101), we get a palindrome (12435144153421).

The spelling of 10102113033320 in words is "ten trillion, one hundred two billion, one hundred thirteen million, thirty-three thousand, three hundred twenty".