1000101110101 has 4 divisors (see below), whose sum is σ = 1000109280204. Its totient is φ = 1000092940000.

The previous prime is 1000101110083. The next prime is 1000101110161. The reversal of 1000101110101 is 1010111010001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 373828302225 + 626272807876 = 611415^2 + 791374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101110101 - 2⁵ = 1000101110069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101110161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3898600 + ... + 4147201.

It is an arithmetic number, because the mean of its divisors is an integer number (250027320051).

Almost surely, 2^{1000101110101} is an apocalyptic number.

It is an amenable number.

1000101110101 is a deficient number, since it is larger than the sum of its proper divisors (8170103).

1000101110101 is an equidigital number, since it uses as much as digits as its factorization.

1000101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170102.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000101110101 its reverse (1010111010001), we get a palindrome (2010212120102).

It can be divided in two parts, 1000 and 101110101, that added together give a palindrome (101111101).

The spelling of 1000101110101 in words is "one trillion, one hundred one million, one hundred ten thousand, one hundred one".