102201101 has 2 divisors, whose sum is σ = 102201102. Its totient is φ = 102201100.

The previous prime is 102201083. The next prime is 102201109. The reversal of 102201101 is 101102201.

It is an a-pointer prime, because the next prime (102201109) can be obtained adding 102201101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69722500 + 32478601 = 8350^2 + 5699^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201101 - 2²⁶ = 35092237 is a prime.

It is a super-2 number, since 2×102201101² = 20890130091224402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100550 + 51100551.

It is an arithmetic number, because the mean of its divisors is an integer number (51100551).

Almost surely, 2^102201101 is an apocalyptic number.

It is an amenable number.

102201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201101 is an equidigital number, since it uses as much as digits as its factorization.

102201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102201101 is about 10109.4560189953. The cubic root of 102201101 is about 467.5397333421.

Adding to 102201101 its reverse (101102201), we get a palindrome (203303302).

It can be divided in two parts, 102201 and 101, that multiplied together give a palindrome (10322301).

The spelling of 102201101 in words is "one hundred two million, two hundred one thousand, one hundred one".