2101011010101 has 12 divisors (see below), whose sum is σ = 3166741232928. Its totient is φ = 1339775136744.

The previous prime is 2101011010079. The next prime is 2101011010117. The reversal of 2101011010101 is 1010101101012.

It is not a de Polignac number, because 2101011010101 - 2⁶ = 2101011010037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101011010121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5074905615 + ... + 5074906028.

It is an arithmetic number, because the mean of its divisors is an integer number (263895102744).

Almost surely, 2^{2101011010101} is an apocalyptic number.

It is an amenable number.

2101011010101 is a deficient number, since it is larger than the sum of its proper divisors (1065730222827).

2101011010101 is a wasteful number, since it uses less digits than its factorization.

2101011010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10149811672 (or 10149811669 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101011010101 its reverse (1010101101012), we get a palindrome (3111112111113).

The spelling of 2101011010101 in words is "two trillion, one hundred one billion, eleven million, ten thousand, one hundred one".