102212200101101 has 2 divisors, whose sum is σ = 102212200101102. Its totient is φ = 102212200101100.

The previous prime is 102212200101073. The next prime is 102212200101119. The reversal of 102212200101101 is 101101002212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95986127157001 + 6226072944100 = 9797251^2 + 2495210^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212200101101 - 2¹⁰ = 102212200100077 is a prime.

It is a super-2 number, since 2×102212200101101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212200101601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106100050550 + 51106100050551.

It is an arithmetic number, because the mean of its divisors is an integer number (51106100050551).

Almost surely, 2^{102212200101101} is an apocalyptic number.

It is an amenable number.

102212200101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212200101101 is an equidigital number, since it uses as much as digits as its factorization.

102212200101101 is an evil number, because the sum of its binary digits is even.

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

Adding to 102212200101101 its reverse (101101002212201), we get a palindrome (203313202313302).

The spelling of 102212200101101 in words is "one hundred two trillion, two hundred twelve billion, two hundred million, one hundred one thousand, one hundred one".