10212100021201 has 16 divisors (see below), whose sum is σ = 11695864247424. Its totient is φ = 8832966729984.

The previous prime is 10212100021061. The next prime is 10212100021213. The reversal of 10212100021201 is 10212000121201.

It is a cyclic number.

It is not a de Polignac number, because 10212100021201 - 2¹⁷ = 10212099890129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212100021241) 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 15 ways as a sum of consecutive naturals, for example, 101730885 + ... + 101831218.

It is an arithmetic number, because the mean of its divisors is an integer number (730991515464).

Almost surely, 2^{10212100021201} is an apocalyptic number.

It is an amenable number.

10212100021201 is a deficient number, since it is larger than the sum of its proper divisors (1483764226223).

10212100021201 is a wasteful number, since it uses less digits than its factorization.

10212100021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203562360.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10212100021201 its reverse (10212000121201), we get a palindrome (20424100142402).

The spelling of 10212100021201 in words is "ten trillion, two hundred twelve billion, one hundred million, twenty-one thousand, two hundred one".