1001101334101 has 8 divisors (see below), whose sum is σ = 1112716406304. Its totient is φ = 892920571920.

The previous prime is 1001101334087. The next prime is 1001101334117. The reversal of 1001101334101 is 1014331011001.

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 1001101334101 - 2¹³ = 1001101325909 is a prime.

It is a super-2 number, since 2×1001101334101² (a number of 25 digits) contains 22 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 (1001101334171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858576891 + ... + 858578056.

It is an arithmetic number, because the mean of its divisors is an integer number (139089550788).

Almost surely, 2^{1001101334101} is an apocalyptic number.

1001101334101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001101334101 is a deficient number, since it is larger than the sum of its proper divisors (111615072203).

1001101334101 is a wasteful number, since it uses less digits than its factorization.

1001101334101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717155011.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1001101334101 its reverse (1014331011001), we get a palindrome (2015432345102).

The spelling of 1001101334101 in words is "one trillion, one billion, one hundred one million, three hundred thirty-four thousand, one hundred one".