2102102201101 has 8 divisors (see below), whose sum is σ = 2543720310720. Its totient is φ = 1695813540288.

The previous prime is 2102102201083. The next prime is 2102102201131. The reversal of 2102102201101 is 1011022012012.

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

It is not a de Polignac number, because 2102102201101 - 2²⁷ = 2101967983373 is a prime.

It is a super-2 number, since 2×2102102201101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102102201131) 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, 8832362071 + ... + 8832362308.

It is an arithmetic number, because the mean of its divisors is an integer number (317965038840).

Almost surely, 2^{2102102201101} is an apocalyptic number.

It is an amenable number.

2102102201101 is a deficient number, since it is larger than the sum of its proper divisors (441618109619).

2102102201101 is a wasteful number, since it uses less digits than its factorization.

2102102201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17664724403.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102102201101 its reverse (1011022012012), we get a palindrome (3113124213113).

The spelling of 2102102201101 in words is "two trillion, one hundred two billion, one hundred two million, two hundred one thousand, one hundred one".