10010100009997 has 2 divisors, whose sum is σ = 10010100009998. Its totient is φ = 10010100009996.

The previous prime is 10010100009991. The next prime is 10010100010003. The reversal of 10010100009997 is 79990000101001.

It is a balanced prime because it is at equal distance from previous prime (10010100009991) and next prime (10010100010003).

It can be written as a sum of positive squares in only one way, i.e., 5095037613961 + 4915062396036 = 2257219^2 + 2216994^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010100009997 - 2³¹ = 10007952526349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010100009991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050004998 + 5005050004999.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050004999).

Almost surely, 2^{10010100009997} is an apocalyptic number.

It is an amenable number.

10010100009997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100009997 is an equidigital number, since it uses as much as digits as its factorization.

10010100009997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 37.

The spelling of 10010100009997 in words is "ten trillion, ten billion, one hundred million, nine thousand, nine hundred ninety-seven".