101202100212229 has 2 divisors, whose sum is σ = 101202100212230. Its totient is φ = 101202100212228.

The previous prime is 101202100212197. The next prime is 101202100212287. The reversal of 101202100212229 is 922212001202101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74360095632900 + 26842004579329 = 8623230^2 + 5180927^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202100212229 - 2⁵ = 101202100212197 is a prime.

It is a super-2 number, since 2×101202100212229² (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 (101202100212289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601050106114 + 50601050106115.

It is an arithmetic number, because the mean of its divisors is an integer number (50601050106115).

Almost surely, 2^{101202100212229} is an apocalyptic number.

It is an amenable number.

101202100212229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202100212229 is an equidigital number, since it uses as much as digits as its factorization.

101202100212229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 101202100212229 in words is "one hundred one trillion, two hundred two billion, one hundred million, two hundred twelve thousand, two hundred twenty-nine".