10002311054120 has 192 divisors, whose sum is σ = 28349778643200. Its totient is φ = 3108915532800.

The previous prime is 10002311054111. The next prime is 10002311054167. The reversal of 10002311054120 is 2145011320001.

It is a super-2 number, since 2×10002311054120² (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 = 10002311054092 and 10002311054101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11751740 + ... + 12574100.

It is an arithmetic number, because the mean of its divisors is an integer number (147655097100).

Almost surely, 2^{10002311054120} is an apocalyptic number.

10002311054120 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 10002311054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174889321600).

10002311054120 is an abundant number, since it is smaller than the sum of its proper divisors (18347467589080).

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

10002311054120 is a wasteful number, since it uses less digits than its factorization.

10002311054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822760 (or 822745 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10002311054120 its reverse (2145011320001), we get a palindrome (12147322374121).

The spelling of 10002311054120 in words is "ten trillion, two billion, three hundred eleven million, fifty-four thousand, one hundred twenty".