10100031100097 has 2 divisors, whose sum is σ = 10100031100098. Its totient is φ = 10100031100096.

The previous prime is 10100031100091. The next prime is 10100031100139. The reversal of 10100031100097 is 79000113000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9451295895616 + 648735204481 = 3074296^2 + 805441^2 .

It is an emirp because it is prime and its reverse (79000113000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100031100097 - 2⁸ = 10100031099841 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100031100091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050015550048 + 5050015550049.

It is an arithmetic number, because the mean of its divisors is an integer number (5050015550049).

Almost surely, 2^{10100031100097} is an apocalyptic number.

It is an amenable number.

10100031100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100031100097 is an equidigital number, since it uses as much as digits as its factorization.

10100031100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 23.

Adding to 10100031100097 its reverse (79000113000101), we get a palindrome (89100144100198).

The spelling of 10100031100097 in words is "ten trillion, one hundred billion, thirty-one million, one hundred thousand, ninety-seven".