101013440330101 has 64 divisors (see below), whose sum is σ = 118605724876800. Its totient is φ = 85232124806400.

The previous prime is 101013440329951. The next prime is 101013440330137. The reversal of 101013440330101 is 101033044310101.

It is not a de Polignac number, because 101013440330101 - 2⁹ = 101013440329589 is a prime.

It is a super-3 number, since 3×101013440330101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013440330501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606127056 + ... + 606293686.

It is an arithmetic number, because the mean of its divisors is an integer number (1853214451200).

Almost surely, 2^{101013440330101} is an apocalyptic number.

It is an amenable number.

101013440330101 is a deficient number, since it is larger than the sum of its proper divisors (17592284546699).

101013440330101 is a wasteful number, since it uses less digits than its factorization.

101013440330101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167450.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101013440330101 its reverse (101033044310101), we get a palindrome (202046484640202).

The spelling of 101013440330101 in words is "one hundred one trillion, thirteen billion, four hundred forty million, three hundred thirty thousand, one hundred one".