1000101010001 has 16 divisors (see below), whose sum is σ = 1028491113216. Its totient is φ = 971902800000.

The previous prime is 1000101009983. The next prime is 1000101010021.

1000101010001 is nontrivially palindromic in base 10.

1000101010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1000101010001 - 2⁶ = 1000101009937 is a prime.

1000101010001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000101010021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101005151 + ... + 101015051.

It is an arithmetic number, because the mean of its divisors is an integer number (64280694576).

Almost surely, 2^{1000101010001} is an apocalyptic number.

It is an amenable number.

1000101010001 is a deficient number, since it is larger than the sum of its proper divisors (28390103215).

1000101010001 is an equidigital number, since it uses as much as digits as its factorization.

1000101010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19304.

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

The spelling of 1000101010001 in words is "one trillion, one hundred one million, ten thousand, one".