2220360145101 has 72 divisors (see below), whose sum is σ = 3794005215000. Its totient is φ = 1247307828480.

The previous prime is 2220360145063. The next prime is 2220360145121. The reversal of 2220360145101 is 1015410630222.

2220360145101 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 3 + 601 + 4 + 51 + 0 + 1 = 666.

2220360145101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 626456420100 + 1593903725001 = 791490^2 + 1262499^2 .

It is not a de Polignac number, because 2220360145101 - 2¹⁰ = 2220360144077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220360145121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52408875 + ... + 52451223.

It is an arithmetic number, because the mean of its divisors is an integer number (52694516875).

Almost surely, 2^{2220360145101} is an apocalyptic number.

2220360145101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2220360145101 is a deficient number, since it is larger than the sum of its proper divisors (1573645069899).

2220360145101 is a wasteful number, since it uses less digits than its factorization.

2220360145101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44379 (or 44369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2220360145101 its reverse (1015410630222), we get a palindrome (3235770775323).

The spelling of 2220360145101 in words is "two trillion, two hundred twenty billion, three hundred sixty million, one hundred forty-five thousand, one hundred one".