101141883801397 has 2 divisors, whose sum is σ = 101141883801398. Its totient is φ = 101141883801396.

The previous prime is 101141883801307. The next prime is 101141883801449. The reversal of 101141883801397 is 793108388141101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84415411581796 + 16726472219601 = 9187786^2 + 4089801^2 .

It is a cyclic number.

It is not a de Polignac number, because 101141883801397 - 2¹⁹ = 101141883277109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101141883801307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50570941900698 + 50570941900699.

It is an arithmetic number, because the mean of its divisors is an integer number (50570941900699).

Almost surely, 2^{101141883801397} is an apocalyptic number.

It is an amenable number.

101141883801397 is a deficient number, since it is larger than the sum of its proper divisors (1).

101141883801397 is an equidigital number, since it uses as much as digits as its factorization.

101141883801397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 55.

The spelling of 101141883801397 in words is "one hundred one trillion, one hundred forty-one billion, eight hundred eighty-three million, eight hundred one thousand, three hundred ninety-seven".