1011002001101 has 4 divisors (see below), whose sum is σ = 1045864139100. Its totient is φ = 976139863104.

The previous prime is 1011002001077. The next prime is 1011002001109.

It is a happy number.

1011002001101 is nontrivially palindromic in base 10.

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 651085996201 + 359916004900 = 806899^2 + 599930^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011002001101 - 2³⁸ = 736124094157 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 (1011002001109) 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, 17431068956 + ... + 17431069013.

It is an arithmetic number, because the mean of its divisors is an integer number (261466034775).

Almost surely, 2^{1011002001101} is an apocalyptic number.

It is an amenable number.

1011002001101 is a deficient number, since it is larger than the sum of its proper divisors (34862137999).

1011002001101 is an equidigital number, since it uses as much as digits as its factorization.

1011002001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34862137998.

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 1011002001101 in words is "one trillion, eleven billion, two million, one thousand, one hundred one".