101211201201349 has 2 divisors, whose sum is σ = 101211201201350. Its totient is φ = 101211201201348.

The previous prime is 101211201201281. The next prime is 101211201201389. The reversal of 101211201201349 is 943102102112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78822310945249 + 22388890256100 = 8878193^2 + 4731690^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211201201349 - 2¹⁷ = 101211201070277 is a prime.

It is a super-3 number, since 3×101211201201349³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211201201389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605600600674 + 50605600600675.

It is an arithmetic number, because the mean of its divisors is an integer number (50605600600675).

Almost surely, 2^{101211201201349} is an apocalyptic number.

It is an amenable number.

101211201201349 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211201201349 is an equidigital number, since it uses as much as digits as its factorization.

101211201201349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 101211201201349 in words is "one hundred one trillion, two hundred eleven billion, two hundred one million, two hundred one thousand, three hundred forty-nine".