10102001022201 has 32 divisors (see below), whose sum is σ = 14843267024256. Its totient is φ = 6060187520000.

The previous prime is 10102001022193. The next prime is 10102001022221. The reversal of 10102001022201 is 10222010020101.

It is a cyclic number.

It is not a de Polignac number, because 10102001022201 - 2³ = 10102001022193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102001022221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12132475 + ... + 12938351.

It is an arithmetic number, because the mean of its divisors is an integer number (463852094508).

Almost surely, 2^{10102001022201} is an apocalyptic number.

10102001022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102001022201 is a deficient number, since it is larger than the sum of its proper divisors (4741266002055).

10102001022201 is a wasteful number, since it uses less digits than its factorization.

10102001022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809753.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102001022201 its reverse (10222010020101), we get a palindrome (20324011042302).

The spelling of 10102001022201 in words is "ten trillion, one hundred two billion, one million, twenty-two thousand, two hundred one".