2101011012101 has 4 divisors (see below), whose sum is σ = 2108999647392. Its totient is φ = 2093022376812.

The previous prime is 2101011012091. The next prime is 2101011012103. The reversal of 2101011012101 is 1012101101012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101011012101 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 (2101011012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3994317251 + ... + 3994317776.

It is an arithmetic number, because the mean of its divisors is an integer number (527249911848).

Almost surely, 2^{2101011012101} is an apocalyptic number.

It is an amenable number.

2101011012101 is a deficient number, since it is larger than the sum of its proper divisors (7988635291).

2101011012101 is an equidigital number, since it uses as much as digits as its factorization.

2101011012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988635290.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101011012101 its reverse (1012101101012), we get a palindrome (3113112113113).

The spelling of 2101011012101 in words is "two trillion, one hundred one billion, eleven million, twelve thousand, one hundred one".