102212101001 has 4 divisors (see below), whose sum is σ = 102212878404. Its totient is φ = 102211323600.

The previous prime is 102212100979. The next prime is 102212101009. The reversal of 102212101001 is 100101212201.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 22029683776 + 80182417225 = 148424^2 + 283165^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212101001 - 2⁶ = 102212100937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212101009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137270 + ... + 472511.

It is an arithmetic number, because the mean of its divisors is an integer number (25553219601).

Almost surely, 2^102212101001 is an apocalyptic number.

It is an amenable number.

102212101001 is a deficient number, since it is larger than the sum of its proper divisors (777403).

102212101001 is an equidigital number, since it uses as much as digits as its factorization.

102212101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777402.

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

Adding to 102212101001 its reverse (100101212201), we get a palindrome (202313313202).

The spelling of 102212101001 in words is "one hundred two billion, two hundred twelve million, one hundred one thousand, one".