10201240111320 has 192 divisors, whose sum is σ = 34903990368000. Its totient is φ = 2576785353984.

The previous prime is 10201240111297. The next prime is 10201240111333. The reversal of 10201240111320 is 2311104210201.

10201240111320 is a `hidden beast` number, since 10 + 201 + 24 + 0 + 111 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10201240111293 and 10201240111302.

It is a congruent number.

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, 49192411 + ... + 49399349.

It is an arithmetic number, because the mean of its divisors is an integer number (181791616500).

Almost surely, 2^{10201240111320} is an apocalyptic number.

10201240111320 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 10201240111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451995184000).

10201240111320 is an abundant number, since it is smaller than the sum of its proper divisors (24702750256680).

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

10201240111320 is a wasteful number, since it uses less digits than its factorization.

10201240111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214182 (or 214175 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10201240111320 its reverse (2311104210201), we get a palindrome (12512344321521).

The spelling of 10201240111320 in words is "ten trillion, two hundred one billion, two hundred forty million, one hundred eleven thousand, three hundred twenty".