10200100201 has 8 divisors (see below), whose sum is σ = 10737874400. Its totient is φ = 9662418720.

The previous prime is 10200100199. The next prime is 10200100289.

10200100201 is nontrivially palindromic in base 10.

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 10200100201 - 2¹ = 10200100199 is a prime.

It is a super-2 number, since 2×10200100201² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200100901) 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, 427885 + ... + 451093.

It is an arithmetic number, because the mean of its divisors is an integer number (1342234300).

Almost surely, 2^10200100201 is an apocalyptic number.

It is an amenable number.

10200100201 is a deficient number, since it is larger than the sum of its proper divisors (537774199).

10200100201 is a wasteful number, since it uses less digits than its factorization.

10200100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46359.

The product of its (nonzero) digits is 4, while the sum is 7.

The spelling of 10200100201 in words is "ten billion, two hundred million, one hundred thousand, two hundred one".