102101101229 has 2 divisors, whose sum is σ = 102101101230. Its totient is φ = 102101101228.

The previous prime is 102101101213. The next prime is 102101101273. The reversal of 102101101229 is 922101101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86434824004 + 15666277225 = 293998^2 + 125165^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101101229 - 2⁴ = 102101101213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102101101229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101100229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050550614 + 51050550615.

It is an arithmetic number, because the mean of its divisors is an integer number (51050550615).

Almost surely, 2^102101101229 is an apocalyptic number.

It is an amenable number.

102101101229 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101101229 is an equidigital number, since it uses as much as digits as its factorization.

102101101229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 102101101229 in words is "one hundred two billion, one hundred one million, one hundred one thousand, two hundred twenty-nine".