2200101122101 has 2 divisors, whose sum is σ = 2200101122102. Its totient is φ = 2200101122100.

The previous prime is 2200101122083. The next prime is 2200101122113. The reversal of 2200101122101 is 1012211010022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2200089892900 + 11229201 = 1483270^2 + 3351^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200101122101 - 2⁵ = 2200101122069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200101120101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100050561050 + 1100050561051.

It is an arithmetic number, because the mean of its divisors is an integer number (1100050561051).

Almost surely, 2^{2200101122101} is an apocalyptic number.

It is an amenable number.

2200101122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200101122101 is an equidigital number, since it uses as much as digits as its factorization.

2200101122101 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 13.

Adding to 2200101122101 its reverse (1012211010022), we get a palindrome (3212312132123).

The spelling of 2200101122101 in words is "two trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred one".