10102011201 has 64 divisors (see below), whose sum is σ = 16198963200. Its totient is φ = 6198681600.

The previous prime is 10102011193. The next prime is 10102011221. The reversal of 10102011201 is 10211020101.

It is a happy number.

It is not a de Polignac number, because 10102011201 - 2³ = 10102011193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10102011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5346865 + ... + 5348753.

It is an arithmetic number, because the mean of its divisors is an integer number (253108800).

Almost surely, 2^10102011201 is an apocalyptic number.

It is an amenable number.

10102011201 is a deficient number, since it is larger than the sum of its proper divisors (6096951999).

10102011201 is a wasteful number, since it uses less digits than its factorization.

10102011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102011201 its reverse (10211020101), we get a palindrome (20313031302).

The spelling of 10102011201 in words is "ten billion, one hundred two million, eleven thousand, two hundred one".