102000022010201 has 24 divisors (see below), whose sum is σ = 118761862080456. Its totient is φ = 87348453857280.

The previous prime is 102000022010191. The next prime is 102000022010219. The reversal of 102000022010201 is 102010220000201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59616002899600 + 42384019110601 = 7721140^2 + 6510301^2 .

It is not a de Polignac number, because 102000022010201 - 2²⁶ = 101999954901337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102000022010261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674791091 + ... + 674942231.

It is an arithmetic number, because the mean of its divisors is an integer number (4948410920019).

Almost surely, 2^{102000022010201} is an apocalyptic number.

It is an amenable number.

102000022010201 is a deficient number, since it is larger than the sum of its proper divisors (16761840070255).

102000022010201 is a wasteful number, since it uses less digits than its factorization.

102000022010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163689 (or 163682 counting only the distinct ones).

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

Adding to 102000022010201 its reverse (102010220000201), we get a palindrome (204010242010402).

The spelling of 102000022010201 in words is "one hundred two trillion, twenty-two million, ten thousand, two hundred one".