10103011322220 has 288 divisors, whose sum is σ = 33336331793856. Its totient is φ = 2466323251200.

The previous prime is 10103011322213. The next prime is 10103011322231. The reversal of 10103011322220 is 2222311030101.

10103011322220 is a `hidden beast` number, since 1 + 0 + 10 + 301 + 132 + 2 + 220 = 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 = 10103011322193 and 10103011322202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395238240 + ... + 395263800.

It is an arithmetic number, because the mean of its divisors is an integer number (115751152062).

Almost surely, 2^{10103011322220} is an apocalyptic number.

10103011322220 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 10103011322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668165896928).

10103011322220 is an abundant number, since it is smaller than the sum of its proper divisors (23233320471636).

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

10103011322220 is a wasteful number, since it uses less digits than its factorization.

10103011322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29121 (or 29116 counting only the distinct ones).

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

Adding to 10103011322220 its reverse (2222311030101), we get a palindrome (12325322352321).

The spelling of 10103011322220 in words is "ten trillion, one hundred three billion, eleven million, three hundred twenty-two thousand, two hundred twenty".