101011009997 has 2 divisors, whose sum is σ = 101011009998. Its totient is φ = 101011009996.

The previous prime is 101011009991. The next prime is 101011010027. The reversal of 101011009997 is 799900110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81335617636 + 19675392361 = 285194^2 + 140269^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011009997 - 2⁸ = 101011009741 is a prime.

It is a super-2 number, since 2×101011009997² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011009997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011009991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505504998 + 50505504999.

It is an arithmetic number, because the mean of its divisors is an integer number (50505504999).

Almost surely, 2^101011009997 is an apocalyptic number.

It is an amenable number.

101011009997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011009997 is an equidigital number, since it uses as much as digits as its factorization.

101011009997 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 38.

The spelling of 101011009997 in words is "one hundred one billion, eleven million, nine thousand, nine hundred ninety-seven".