1001100002101 has 4 divisors (see below), whose sum is σ = 1010284405900. Its totient is φ = 991915598304.

The previous prime is 1001100002093. The next prime is 1001100002117. The reversal of 1001100002101 is 1012000011001.

1001100002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 576686841201 + 424413160900 = 759399^2 + 651470^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100002101 - 2³ = 1001100002093 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 (1001100008101) 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, 4592201736 + ... + 4592201953.

It is an arithmetic number, because the mean of its divisors is an integer number (252571101475).

Almost surely, 2^{1001100002101} is an apocalyptic number.

It is an amenable number.

1001100002101 is a deficient number, since it is larger than the sum of its proper divisors (9184403799).

1001100002101 is an equidigital number, since it uses as much as digits as its factorization.

1001100002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184403798.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001100002101 its reverse (1012000011001), we get a palindrome (2013100013102).

The spelling of 1001100002101 in words is "one trillion, one billion, one hundred million, two thousand, one hundred one".