101201022100193 has 2 divisors, whose sum is σ = 101201022100194. Its totient is φ = 101201022100192.

The previous prime is 101201022100103. The next prime is 101201022100201. The reversal of 101201022100193 is 391001220102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65842383806224 + 35358638293969 = 8114332^2 + 5946313^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201022100193 - 2¹⁴ = 101201022083809 is a prime.

It is not a weakly prime, because it can be changed into another prime (101201022100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600511050096 + 50600511050097.

It is an arithmetic number, because the mean of its divisors is an integer number (50600511050097).

Almost surely, 2^{101201022100193} is an apocalyptic number.

It is an amenable number.

101201022100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201022100193 is an equidigital number, since it uses as much as digits as its factorization.

101201022100193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 101201022100193 its reverse (391001220102101), we get a palindrome (492202242202294).

The spelling of 101201022100193 in words is "one hundred one trillion, two hundred one billion, twenty-two million, one hundred thousand, one hundred ninety-three".