222112100101 has 16 divisors (see below), whose sum is σ = 237606248880. Its totient is φ = 206892195840.

The previous prime is 222112100083. The next prime is 222112100107. The reversal of 222112100101 is 101001211222.

It can be written as a sum of positive squares in 8 ways, for example, as 5676869025 + 216435231076 = 75345^2 + 465226^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112100101 - 2⁵ = 222112100069 is a prime.

It is a super-2 number, since 2×222112100101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112100107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564465 + ... + 1700521.

It is an arithmetic number, because the mean of its divisors is an integer number (14850390555).

Almost surely, 2^222112100101 is an apocalyptic number.

It is an amenable number.

222112100101 is a deficient number, since it is larger than the sum of its proper divisors (15494148779).

222112100101 is a wasteful number, since it uses less digits than its factorization.

222112100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137064.

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

Adding to 222112100101 its reverse (101001211222), we get a palindrome (323113311323).

The spelling of 222112100101 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred thousand, one hundred one".