101020022000201 has 8 divisors (see below), whose sum is σ = 101926241488680. Its totient is φ = 100114017196032.

The previous prime is 101020022000189. The next prime is 101020022000237. The reversal of 101020022000201 is 102000220020101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25917415537225 + 75102606462976 = 5090915^2 + 8666176^2 .

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 101020022000201 - 2¹⁴ = 101020021983817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020022000701) 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, 52725680 + ... + 54608033.

It is an arithmetic number, because the mean of its divisors is an integer number (12740780186085).

Almost surely, 2^{101020022000201} is an apocalyptic number.

It is an amenable number.

101020022000201 is a deficient number, since it is larger than the sum of its proper divisors (906219488479).

101020022000201 is a wasteful number, since it uses less digits than its factorization.

101020022000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107342155.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101020022000201 its reverse (102000220020101), we get a palindrome (203020242020302).

The spelling of 101020022000201 in words is "one hundred one trillion, twenty billion, twenty-two million, two hundred one", and thus it is an aban number.