101013240220767 has 18 divisors (see below), whose sum is σ = 169729730167608. Its totient is φ = 57721851554472.

The previous prime is 101013240220729. The next prime is 101013240220787. The reversal of 101013240220767 is 767022042310101.

101013240220767 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 32 + 402 + 207 + 6 + 7 = 666.

It is not a de Polignac number, because 101013240220767 - 2²³ = 101013231832159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013240220787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114527482803 + ... + 114527483684.

It is an arithmetic number, because the mean of its divisors is an integer number (9429429453756).

Almost surely, 2^{101013240220767} is an apocalyptic number.

101013240220767 is a deficient number, since it is larger than the sum of its proper divisors (68716489946841).

101013240220767 is a wasteful number, since it uses less digits than its factorization.

101013240220767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229054966507 (or 229054966497 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 101013240220767 its reverse (767022042310101), we get a palindrome (868035282530868).

The spelling of 101013240220767 in words is "one hundred one trillion, thirteen billion, two hundred forty million, two hundred twenty thousand, seven hundred sixty-seven".