101001100101 has 8 divisors (see below), whose sum is σ = 146910691104. Its totient is φ = 61212787920.

The previous prime is 101001100097. The next prime is 101001100103.

101001100101 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 101001100101 - 2² = 101001100097 is a prime.

It is a super-2 number, since 2×101001100101² (a number of 23 digits) contains 22 as substring.

101001100101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 101001100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100103) 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, 1530319666 + ... + 1530319731.

It is an arithmetic number, because the mean of its divisors is an integer number (18363836388).

Almost surely, 2^101001100101 is an apocalyptic number.

101001100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001100101 is a deficient number, since it is larger than the sum of its proper divisors (45909591003).

101001100101 is a wasteful number, since it uses less digits than its factorization.

101001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060639411.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 101001 and 100101, that multiplied together give a palindrome (10110301101).

The spelling of 101001100101 in words is "one hundred one billion, one million, one hundred thousand, one hundred one".