102212100002101 has 8 divisors (see below), whose sum is σ = 102281986033920. Its totient is φ = 102142215517488.

The previous prime is 102212100002083. The next prime is 102212100002113. The reversal of 102212100002101 is 101200001212201.

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 102212100002101 - 2¹³ = 102212099993909 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 (102212100002501) 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, 152348955 + ... + 153018391.

It is an arithmetic number, because the mean of its divisors is an integer number (12785248254240).

Almost surely, 2^{102212100002101} is an apocalyptic number.

It is an amenable number.

102212100002101 is a deficient number, since it is larger than the sum of its proper divisors (69886031819).

102212100002101 is a wasteful number, since it uses less digits than its factorization.

102212100002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773603.

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

Adding to 102212100002101 its reverse (101200001212201), we get a palindrome (203412101214302).

The spelling of 102212100002101 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, two thousand, one hundred one".