2111002010101 has 16 divisors (see below), whose sum is σ = 2167902532800. Its totient is φ = 2055069808000.

The previous prime is 2111002010077. The next prime is 2111002010113. The reversal of 2111002010101 is 1010102001112.

It is not a de Polignac number, because 2111002010101 - 2²¹ = 2110999912949 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 (2111002010401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953046 + ... + 2265016.

It is an arithmetic number, because the mean of its divisors is an integer number (135493908300).

Almost surely, 2^{2111002010101} is an apocalyptic number.

It is an amenable number.

2111002010101 is a deficient number, since it is larger than the sum of its proper divisors (56900522699).

2111002010101 is a wasteful number, since it uses less digits than its factorization.

2111002010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312340.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2111002010101 its reverse (1010102001112), we get a palindrome (3121104011213).

The spelling of 2111002010101 in words is "two trillion, one hundred eleven billion, two million, ten thousand, one hundred one".