2221112100101 has 2 divisors, whose sum is σ = 2221112100102. Its totient is φ = 2221112100100.

The previous prime is 2221112100091. The next prime is 2221112100121. The reversal of 2221112100101 is 1010012111222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1213897132900 + 1007214967201 = 1101770^2 + 1003601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221112100101 - 2⁶ = 2221112100037 is a prime.

It is a super-2 number, since 2×2221112100101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221112100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110556050050 + 1110556050051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110556050051).

Almost surely, 2^{2221112100101} is an apocalyptic number.

It is an amenable number.

2221112100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221112100101 is an equidigital number, since it uses as much as digits as its factorization.

2221112100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2221112100101 its reverse (1010012111222), we get a palindrome (3231124211323).

The spelling of 2221112100101 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred thousand, one hundred one".