101002222000201 has 8 divisors (see below), whose sum is σ = 101203681134600. Its totient is φ = 100800774735360.

The previous prime is 101002222000187. The next prime is 101002222000231. The reversal of 101002222000201 is 102000222200101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19082254568976 + 81919967431225 = 4368324^2 + 9050965^2 .

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 101002222000201 - 2⁷ = 101002222000073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002222000231) 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, 14166841 + ... + 20067481.

It is an arithmetic number, because the mean of its divisors is an integer number (12650460141825).

Almost surely, 2^{101002222000201} is an apocalyptic number.

It is an amenable number.

101002222000201 is a deficient number, since it is larger than the sum of its proper divisors (201459134399).

101002222000201 is an equidigital number, since it uses as much as digits as its factorization.

101002222000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934779.

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

Adding to 101002222000201 its reverse (102000222200101), we get a palindrome (203002444200302).

The spelling of 101002222000201 in words is "one hundred one trillion, two billion, two hundred twenty-two million, two hundred one", and thus it is an aban number.