1000010100011 has 8 divisors (see below), whose sum is σ = 1095187072560. Its totient is φ = 907440715872.

The previous prime is 1000010100007. The next prime is 1000010100059. The reversal of 1000010100011 is 1100010100001.

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 1000010100011 - 2² = 1000010100007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000010099968 and 1000010100004.

It is not an unprimeable number, because it can be changed into a prime (1000010100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651896300 + ... + 651897833.

It is an arithmetic number, because the mean of its divisors is an integer number (136898384070).

Almost surely, 2^{1000010100011} is an apocalyptic number.

1000010100011 is a deficient number, since it is larger than the sum of its proper divisors (95176972549).

1000010100011 is a wasteful number, since it uses less digits than its factorization.

1000010100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303794205.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000010100011 its reverse (1100010100001), we get a palindrome (2100020200012).

The spelling of 1000010100011 in words is "one trillion, ten million, one hundred thousand, eleven".