101005700001 has 4 divisors (see below), whose sum is σ = 134674266672. Its totient is φ = 67337133332.

The previous prime is 101005699957. The next prime is 101005700027. The reversal of 101005700001 is 100007500101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101005700001 - 2⁹ = 101005699489 is a prime.

It is a super-2 number, since 2×101005700001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101005700051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16834283331 + ... + 16834283336.

It is an arithmetic number, because the mean of its divisors is an integer number (33668566668).

Almost surely, 2^101005700001 is an apocalyptic number.

It is an amenable number.

101005700001 is a deficient number, since it is larger than the sum of its proper divisors (33668566671).

101005700001 is an equidigital number, since it uses as much as digits as its factorization.

101005700001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33668566670.

The product of its (nonzero) digits is 35, while the sum is 15.

The spelling of 101005700001 in words is "one hundred one billion, five million, seven hundred thousand, one".