1011224221101 has 24 divisors (see below), whose sum is σ = 1475940605880. Its totient is φ = 667103040000.

The previous prime is 1011224221099. The next prime is 1011224221103.

1011224221101 is a `hidden beast` number, since 10 + 1 + 122 + 422 + 110 + 1 = 666.

1011224221101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1011224221099) and next prime (1011224221103).

It can be written as a sum of positive squares in 4 ways, for example, as 43216173225 + 968008047876 = 207885^2 + 983874^2 .

It is not a de Polignac number, because 1011224221101 - 2¹ = 1011224221099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011224221103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328265 + ... + 1945953.

It is an arithmetic number, because the mean of its divisors is an integer number (61497525245).

Almost surely, 2^{1011224221101} is an apocalyptic number.

It is an amenable number.

1011224221101 is a deficient number, since it is larger than the sum of its proper divisors (464716384779).

1011224221101 is a wasteful number, since it uses less digits than its factorization.

1011224221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619597 (or 619594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 1011224221101 in words is "one trillion, eleven billion, two hundred twenty-four million, two hundred twenty-one thousand, one hundred one".