102021222001 has 24 divisors (see below), whose sum is σ = 110505963960. Its totient is φ = 94135222272.

The previous prime is 102021221999. The next prime is 102021222011. The reversal of 102021222001 is 100222120201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7735378401 + 94285843600 = 87951^2 + 307060^2 .

It is not a de Polignac number, because 102021222001 - 2¹ = 102021221999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102021222011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37938865 + ... + 37941553.

It is an arithmetic number, because the mean of its divisors is an integer number (4604415165).

Almost surely, 2^102021222001 is an apocalyptic number.

It is an amenable number.

102021222001 is a deficient number, since it is larger than the sum of its proper divisors (8484741959).

102021222001 is a wasteful number, since it uses less digits than its factorization.

102021222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102021222001 its reverse (100222120201), we get a palindrome (202243342202).

The spelling of 102021222001 in words is "one hundred two billion, twenty-one million, two hundred twenty-two thousand, one".