10112201303220 has 144 divisors (see below), whose sum is σ = 31232910316608. Its totient is φ = 2647685905920.

The previous prime is 10112201303207. The next prime is 10112201303411. The reversal of 10112201303220 is 2230310221101.

10112201303220 is a `hidden beast` number, since 1 + 0 + 112 + 201 + 30 + 322 + 0 = 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 = 10112201303193 and 10112201303202.

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, 2336800 + ... + 5068040.

It is an arithmetic number, because the mean of its divisors is an integer number (216895210532).

Almost surely, 2^{10112201303220} is an apocalyptic number.

10112201303220 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 10112201303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616455158304).

10112201303220 is an abundant number, since it is smaller than the sum of its proper divisors (21120709013388).

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

10112201303220 is a wasteful number, since it uses less digits than its factorization.

10112201303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731630 (or 2731625 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10112201303220 its reverse (2230310221101), we get a palindrome (12342511524321).

The spelling of 10112201303220 in words is "ten trillion, one hundred twelve billion, two hundred one million, three hundred three thousand, two hundred twenty".