2221112101 has 12 divisors (see below), whose sum is σ = 2540951812. Its totient is φ = 1929650688.

The previous prime is 2221112083. The next prime is 2221112119. The reversal of 2221112101 is 1012111222.

It is an interprime number because it is at equal distance from previous prime (2221112083) and next prime (2221112119).

It can be written as a sum of positive squares in 6 ways, for example, as 411035076 + 1810077025 = 20274^2 + 42545^2 .

It is not a de Polignac number, because 2221112101 - 2⁷ = 2221111973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221112501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291840 + ... + 299353.

Almost surely, 2^2221112101 is an apocalyptic number.

It is an amenable number.

2221112101 is a deficient number, since it is larger than the sum of its proper divisors (319839711).

2221112101 is a wasteful number, since it uses less digits than its factorization.

2221112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591240 (or 591223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2221112101 is about 47128.6759945577. The cubic root of 2221112101 is about 1304.7385453128.

Adding to 2221112101 its reverse (1012111222), we get a palindrome (3233223323).

The spelling of 2221112101 in words is "two billion, two hundred twenty-one million, one hundred twelve thousand, one hundred one".