102222201000001 has 2 divisors, whose sum is σ = 102222201000002. Its totient is φ = 102222201000000.

The previous prime is 102222200999921. The next prime is 102222201000061. The reversal of 102222201000001 is 100000102222201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92894918516401 + 9327282483600 = 9638201^2 + 3054060^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222201000001 - 2¹⁵ = 102222200967233 is a prime.

It is not a weakly prime, because it can be changed into another prime (102222201000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111100500000 + 51111100500001.

It is an arithmetic number, because the mean of its divisors is an integer number (51111100500001).

Almost surely, 2^{102222201000001} is an apocalyptic number.

It is an amenable number.

102222201000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222201000001 is an equidigital number, since it uses as much as digits as its factorization.

102222201000001 is an evil number, because the sum of its binary digits is even.

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

Adding to 102222201000001 its reverse (100000102222201), we get a palindrome (202222303222202).

The spelling of 102222201000001 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred one million, one", and thus it is an aban number.