102210012101 has 16 divisors (see below), whose sum is σ = 108468439344. Its totient is φ = 95979147264.

The previous prime is 102210012089. The next prime is 102210012127. The reversal of 102210012101 is 101210012201.

It can be written as a sum of positive squares in 8 ways, for example, as 4606879876 + 97603132225 = 67874^2 + 312415^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102210012101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210012181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29771081 + ... + 29774513.

It is an arithmetic number, because the mean of its divisors is an integer number (6779277459).

Almost surely, 2^102210012101 is an apocalyptic number.

It is an amenable number.

102210012101 is a deficient number, since it is larger than the sum of its proper divisors (6258427243).

102210012101 is a wasteful number, since it uses less digits than its factorization.

102210012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102210012101 its reverse (101210012201), we get a palindrome (203420024302).

The spelling of 102210012101 in words is "one hundred two billion, two hundred ten million, twelve thousand, one hundred one".