101007711041 has 8 divisors (see below), whose sum is σ = 101881364064. Its totient is φ = 100137784320.

The previous prime is 101007711017. The next prime is 101007711043. The reversal of 101007711041 is 140117700101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101007711041 - 2⁶ = 101007710977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101007710998 and 101007711016.

It is not an unprimeable number, because it can be changed into a prime (101007711043) 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 7 ways as a sum of consecutive naturals, for example, 877115 + ... + 985568.

It is an arithmetic number, because the mean of its divisors is an integer number (12735170508).

Almost surely, 2^101007711041 is an apocalyptic number.

It is an amenable number.

101007711041 is a deficient number, since it is larger than the sum of its proper divisors (873653023).

101007711041 is a wasteful number, since it uses less digits than its factorization.

101007711041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863151.

The product of its (nonzero) digits is 196, while the sum is 23.

The spelling of 101007711041 in words is "one hundred one billion, seven million, seven hundred eleven thousand, forty-one".