10201100100201 has 48 divisors (see below), whose sum is σ = 15176413324800. Its totient is φ = 6599545887744.

The previous prime is 10201100100179. The next prime is 10201100100223. The reversal of 10201100100201 is 10200100110201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201100100179) and next prime (10201100100223).

It is not a de Polignac number, because 10201100100201 - 2¹⁸ = 10201099838057 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10201100107201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48515985 + ... + 48725793.

It is an arithmetic number, because the mean of its divisors is an integer number (316175277600).

Almost surely, 2^{10201100100201} is an apocalyptic number.

It is an amenable number.

10201100100201 is a deficient number, since it is larger than the sum of its proper divisors (4975313224599).

10201100100201 is a wasteful number, since it uses less digits than its factorization.

10201100100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210838 (or 210835 counting only the distinct ones).

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

Adding to 10201100100201 its reverse (10200100110201), we get a palindrome (20401200210402).

The spelling of 10201100100201 in words is "ten trillion, two hundred one billion, one hundred million, one hundred thousand, two hundred one".