2102112021101 has 16 divisors (see below), whose sum is σ = 2152648134144. Its totient is φ = 2051825528064.

The previous prime is 2102112021091. The next prime is 2102112021109. The reversal of 2102112021101 is 1011202112012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102112021101 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 (2102112021109) 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, 26146901 + ... + 26227173.

It is an arithmetic number, because the mean of its divisors is an integer number (134540508384).

Almost surely, 2^{2102112021101} is an apocalyptic number.

It is an amenable number.

2102112021101 is a deficient number, since it is larger than the sum of its proper divisors (50536113043).

2102112021101 is an equidigital number, since it uses as much as digits as its factorization.

2102112021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81820.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2102112021101 its reverse (1011202112012), we get a palindrome (3113314133113).

The spelling of 2102112021101 in words is "two trillion, one hundred two billion, one hundred twelve million, twenty-one thousand, one hundred one".