10301111312220 has 144 divisors (see below), whose sum is σ = 31693006537920. Its totient is φ = 2707742822400.

The previous prime is 10301111312203. The next prime is 10301111312231. The reversal of 10301111312220 is 2221311110301.

10301111312220 is a `hidden beast` number, since 1 + 0 + 301 + 11 + 131 + 2 + 220 = 666.

It is a super-2 number, since 2×10301111312220² (a number of 27 digits) contains 22 as substring.

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 = 10301111312193 and 10301111312202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67414866 + ... + 67567494.

It is an arithmetic number, because the mean of its divisors is an integer number (220090323180).

Almost surely, 2^{10301111312220} is an apocalyptic number.

10301111312220 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 10301111312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846503268960).

10301111312220 is an abundant number, since it is smaller than the sum of its proper divisors (21391895225700).

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

10301111312220 is a wasteful number, since it uses less digits than its factorization.

10301111312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157996 (or 157991 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10301111312220 its reverse (2221311110301), we get a palindrome (12522422422521).

The spelling of 10301111312220 in words is "ten trillion, three hundred one billion, one hundred eleven million, three hundred twelve thousand, two hundred twenty".