101100009999997 has 2 divisors, whose sum is σ = 101100009999998. Its totient is φ = 101100009999996.

The previous prime is 101100009999983. The next prime is 101100010000061. The reversal of 101100009999997 is 799999900001101.

It is an a-pointer prime, because the next prime (101100010000061) can be obtained adding 101100009999997 to its sum of digits (64).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99879756168196 + 1220253831801 = 9993986^2 + 1104651^2 .

It is an emirp because it is prime and its reverse (799999900001101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100009999997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100009999697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550004999998 + 50550004999999.

It is an arithmetic number, because the mean of its divisors is an integer number (50550004999999).

Almost surely, 2^{101100009999997} is an apocalyptic number.

It is an amenable number.

101100009999997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100009999997 is an equidigital number, since it uses as much as digits as its factorization.

101100009999997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3720087, while the sum is 64.

The spelling of 101100009999997 in words is "one hundred one trillion, one hundred billion, nine million, nine hundred ninety-nine thousand, nine hundred ninety-seven".