101042400311 has 8 divisors (see below), whose sum is σ = 107641873920. Its totient is φ = 94571071992.

The previous prime is 101042400301. The next prime is 101042400337. The reversal of 101042400311 is 113004240101.

It is a happy number.

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 101042400311 - 2⁶ = 101042400247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101042400311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101042400301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32034695 + ... + 32037848.

It is an arithmetic number, because the mean of its divisors is an integer number (13455234240).

Almost surely, 2^101042400311 is an apocalyptic number.

101042400311 is a deficient number, since it is larger than the sum of its proper divisors (6599473609).

101042400311 is an equidigital number, since it uses as much as digits as its factorization.

101042400311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64072645.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101042400311 its reverse (113004240101), we get a palindrome (214046640412).

The spelling of 101042400311 in words is "one hundred one billion, forty-two million, four hundred thousand, three hundred eleven".