1000100100011 has 8 divisors (see below), whose sum is σ = 1053125035920. Its totient is φ = 947113972992.

The previous prime is 1000100100001. The next prime is 1000100100017. The reversal of 1000100100011 is 1100010010001.

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 1000100100011 - 2¹⁴ = 1000100083627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100099968 and 1000100100004.

It is not an unprimeable number, because it can be changed into a prime (1000100100017) 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, 9649310 + ... + 9752403.

It is an arithmetic number, because the mean of its divisors is an integer number (131640629490).

Almost surely, 2^{1000100100011} is an apocalyptic number.

1000100100011 is a deficient number, since it is larger than the sum of its proper divisors (53024935909).

1000100100011 is a wasteful number, since it uses less digits than its factorization.

1000100100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19404445.

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

Adding to 1000100100011 its reverse (1100010010001), we get a palindrome (2100110110012).

The spelling of 1000100100011 in words is "one trillion, one hundred million, one hundred thousand, eleven".