101101100006031 has 8 divisors (see below), whose sum is σ = 134812358011824. Its totient is φ = 67395287668800.

The previous prime is 101101100006029. The next prime is 101101100006089. The reversal of 101101100006031 is 130600001101101.

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

It is not a de Polignac number, because 101101100006031 - 2¹ = 101101100006029 is a prime.

It is a super-2 number, since 2×101101100006031² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101101100006031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101104006031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361373820 + ... + 1361448081.

It is an arithmetic number, because the mean of its divisors is an integer number (16851544751478).

Almost surely, 2^{101101100006031} is an apocalyptic number.

101101100006031 is a deficient number, since it is larger than the sum of its proper divisors (33711258005793).

101101100006031 is a wasteful number, since it uses less digits than its factorization.

101101100006031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722834281.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101101100006031 its reverse (130600001101101), we get a palindrome (231701101107132).

The spelling of 101101100006031 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, thirty-one".