2102112210101 has 8 divisors (see below), whose sum is σ = 2118539601600. Its totient is φ = 2085727879872.

The previous prime is 2102112210097. The next prime is 2102112210139. The reversal of 2102112210101 is 1010122112012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2102112210101 - 2² = 2102112210097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102112210001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10667300 + ... + 10862573.

It is an arithmetic number, because the mean of its divisors is an integer number (264817450200).

Almost surely, 2^{2102112210101} is an apocalyptic number.

It is an amenable number.

2102112210101 is a deficient number, since it is larger than the sum of its proper divisors (16427391499).

2102112210101 is a wasteful number, since it uses less digits than its factorization.

2102112210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21530635.

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

Adding to 2102112210101 its reverse (1010122112012), we get a palindrome (3112234322113).

The spelling of 2102112210101 in words is "two trillion, one hundred two billion, one hundred twelve million, two hundred ten thousand, one hundred one".