2101111010101 has 4 divisors (see below), whose sum is σ = 2115025652704. Its totient is φ = 2087196367500.

The previous prime is 2101111010093. The next prime is 2101111010143. The reversal of 2101111010101 is 1010101111012.

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 not a de Polignac number, because 2101111010101 - 2³ = 2101111010093 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 (2101111010161) 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, 6957321075 + ... + 6957321376.

It is an arithmetic number, because the mean of its divisors is an integer number (528756413176).

Almost surely, 2^{2101111010101} is an apocalyptic number.

It is an amenable number.

2101111010101 is a deficient number, since it is larger than the sum of its proper divisors (13914642603).

2101111010101 is a wasteful number, since it uses less digits than its factorization.

2101111010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13914642602.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 2101111010101 its reverse (1010101111012), we get a palindrome (3111212121113).

The spelling of 2101111010101 in words is "two trillion, one hundred one billion, one hundred eleven million, ten thousand, one hundred one".