2102100212101 has 8 divisors (see below), whose sum is σ = 2232774474840. Its totient is φ = 1972206094848.

The previous prime is 2102100212083. The next prime is 2102100212129. The reversal of 2102100212101 is 1012120012012.

It can be written as a sum of positive squares in 4 ways, for example, as 615089601 + 2101485122500 = 24801^2 + 1449650^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102100212101 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 (2102100212171) 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, 195030816 + ... + 195041593.

It is an arithmetic number, because the mean of its divisors is an integer number (279096809355).

Almost surely, 2^{2102100212101} is an apocalyptic number.

It is an amenable number.

2102100212101 is a deficient number, since it is larger than the sum of its proper divisors (130674262739).

2102100212101 is a wasteful number, since it uses less digits than its factorization.

2102100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390072743.

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

Adding to 2102100212101 its reverse (1012120012012), we get a palindrome (3114220224113).

The spelling of 2102100212101 in words is "two trillion, one hundred two billion, one hundred million, two hundred twelve thousand, one hundred one".