102221120001 has 128 divisors (see below), whose sum is σ = 188360073216. Its totient is φ = 47586631680.

The previous prime is 102221119991. The next prime is 102221120011. The reversal of 102221120001 is 100021122201.

It is an interprime number because it is at equal distance from previous prime (102221119991) and next prime (102221120011).

It is not a de Polignac number, because 102221120001 - 2⁷ = 102221119873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102221120011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74777020 + ... + 74778386.

It is an arithmetic number, because the mean of its divisors is an integer number (1471563072).

Almost surely, 2^102221120001 is an apocalyptic number.

102221120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221120001 is a deficient number, since it is larger than the sum of its proper divisors (86138953215).

102221120001 is a wasteful number, since it uses less digits than its factorization.

102221120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102221120001 its reverse (100021122201), we get a palindrome (202242242202).

It can be divided in two parts, 102221 and 120001, that added together give a palindrome (222222).

The spelling of 102221120001 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty thousand, one".