102202111022101 has 4 divisors (see below), whose sum is σ = 108213999905772. Its totient is φ = 96190222138432.

The previous prime is 102202111022003. The next prime is 102202111022113. The reversal of 102202111022101 is 101220111202201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 52490459700900 + 49711651321201 = 7245030^2 + 7050649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202111022101 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 (102202111026101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3005944441810 + ... + 3005944441843.

It is an arithmetic number, because the mean of its divisors is an integer number (27053499976443).

Almost surely, 2^{102202111022101} is an apocalyptic number.

It is an amenable number.

102202111022101 is a deficient number, since it is larger than the sum of its proper divisors (6011888883671).

102202111022101 is an equidigital number, since it uses as much as digits as its factorization.

102202111022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011888883670.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202111022101 its reverse (101220111202201), we get a palindrome (203422222224302).

The spelling of 102202111022101 in words is "one hundred two trillion, two hundred two billion, one hundred eleven million, twenty-two thousand, one hundred one".