101001011100097 has 2 divisors, whose sum is σ = 101001011100098. Its totient is φ = 101001011100096.

The previous prime is 101001011100049. The next prime is 101001011100131. The reversal of 101001011100097 is 790001110100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90824407073856 + 10176604026241 = 9530184^2 + 3190079^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001011100097 - 2¹⁹ = 101001010575809 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001011101097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505550048 + 50500505550049.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505550049).

Almost surely, 2^{101001011100097} is an apocalyptic number.

It is an amenable number.

101001011100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001011100097 is an equidigital number, since it uses as much as digits as its factorization.

101001011100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 22.

Adding to 101001011100097 its reverse (790001110100101), we get a palindrome (891002121200198).

The spelling of 101001011100097 in words is "one hundred one trillion, one billion, eleven million, one hundred thousand, ninety-seven".