101102200011229 has 2 divisors, whose sum is σ = 101102200011230. Its totient is φ = 101102200011228.

The previous prime is 101102200011097. The next prime is 101102200011233. The reversal of 101102200011229 is 922110002201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77868305787204 + 23233894224025 = 8824302^2 + 4820155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102200011229 is a prime.

It is a super-2 number, since 2×101102200011229² (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 (101102200011529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551100005614 + 50551100005615.

It is an arithmetic number, because the mean of its divisors is an integer number (50551100005615).

Almost surely, 2^{101102200011229} is an apocalyptic number.

It is an amenable number.

101102200011229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102200011229 is an equidigital number, since it uses as much as digits as its factorization.

101102200011229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101102200011229 in words is "one hundred one trillion, one hundred two billion, two hundred million, eleven thousand, two hundred twenty-nine".