102202212001 has 8 divisors (see below), whose sum is σ = 102718161000. Its totient is φ = 101686869120.

The previous prime is 102202211981. The next prime is 102202212017. The reversal of 102202212001 is 100212202201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47071641600 + 55130570401 = 216960^2 + 234799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102202212001 - 2¹¹ = 102202209953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102202212071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188475 + ... + 489823.

It is an arithmetic number, because the mean of its divisors is an integer number (12839770125).

Almost surely, 2^102202212001 is an apocalyptic number.

It is an amenable number.

102202212001 is a deficient number, since it is larger than the sum of its proper divisors (515948999).

102202212001 is a wasteful number, since it uses less digits than its factorization.

102202212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303059.

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

Adding to 102202212001 its reverse (100212202201), we get a palindrome (202414414202).

The spelling of 102202212001 in words is "one hundred two billion, two hundred two million, two hundred twelve thousand, one".