102220010001 has 12 divisors (see below), whose sum is σ = 151641697012. Its totient is φ = 66304871136.

The previous prime is 102220009993. The next prime is 102220010029. The reversal of 102220010001 is 100010022201.

It can be written as a sum of positive squares in 2 ways, for example, as 56620678401 + 45599331600 = 237951^2 + 213540^2 .

It is not a de Polignac number, because 102220010001 - 2³ = 102220009993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102220017001) 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 11 ways as a sum of consecutive naturals, for example, 153483166 + ... + 153483831.

Almost surely, 2^102220010001 is an apocalyptic number.

It is an amenable number.

102220010001 is a deficient number, since it is larger than the sum of its proper divisors (49421687011).

102220010001 is a wasteful number, since it uses less digits than its factorization.

102220010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306967040 (or 306967037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102220010001 its reverse (100010022201), we get a palindrome (202230032202).

The spelling of 102220010001 in words is "one hundred two billion, two hundred twenty million, ten thousand, one".