1001102010113 has 8 divisors (see below), whose sum is σ = 1007848526400. Its totient is φ = 994355863600.

The previous prime is 1001102010107. The next prime is 1001102010127. The reversal of 1001102010113 is 3110102011001.

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 1001102010113 - 2¹² = 1001102006017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001102010094 and 1001102010103.

It is not an unprimeable number, because it can be changed into a prime (1001102010133) 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, 7350788 + ... + 7485738.

It is an arithmetic number, because the mean of its divisors is an integer number (125981065800).

Almost surely, 2^{1001102010113} is an apocalyptic number.

It is an amenable number.

1001102010113 is a deficient number, since it is larger than the sum of its proper divisors (6746516287).

1001102010113 is a wasteful number, since it uses less digits than its factorization.

1001102010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184887.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001102010113 its reverse (3110102011001), we get a palindrome (4111204021114).

The spelling of 1001102010113 in words is "one trillion, one billion, one hundred two million, ten thousand, one hundred thirteen".