10212100011201 has 32 divisors (see below), whose sum is σ = 15006518856576. Its totient is φ = 6125631680000.

The previous prime is 10212100011187. The next prime is 10212100011203. The reversal of 10212100011201 is 10211000121201.

It is a cyclic number.

It is not a de Polignac number, because 10212100011201 - 2³¹ = 10209952527553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212100011203) 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, 8576845 + ... + 9694661.

It is an arithmetic number, because the mean of its divisors is an integer number (468953714268).

Almost surely, 2^{10212100011201} is an apocalyptic number.

10212100011201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212100011201 is a deficient number, since it is larger than the sum of its proper divisors (4794418845375).

10212100011201 is a wasteful number, since it uses less digits than its factorization.

10212100011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120673.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212100011201 its reverse (10211000121201), we get a palindrome (20423100132402).

The spelling of 10212100011201 in words is "ten trillion, two hundred twelve billion, one hundred million, eleven thousand, two hundred one".