10001020100211 has 24 divisors (see below), whose sum is σ = 16562706111744. Its totient is φ = 5696492834160.

The previous prime is 10001020100209. The next prime is 10001020100213. The reversal of 10001020100211 is 11200102010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001020100209) and next prime (10001020100213).

It is not a de Polignac number, because 10001020100211 - 2¹ = 10001020100209 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001020100193 and 10001020100202.

It is not an unprimeable number, because it can be changed into a prime (10001020100213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255199621 + ... + 255238806.

It is an arithmetic number, because the mean of its divisors is an integer number (690112754656).

Almost surely, 2^{10001020100211} is an apocalyptic number.

10001020100211 is a deficient number, since it is larger than the sum of its proper divisors (6561686011533).

10001020100211 is a wasteful number, since it uses less digits than its factorization.

10001020100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510438751 (or 510438748 counting only the distinct ones).

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

Adding to 10001020100211 its reverse (11200102010001), we get a palindrome (21201122110212).

The spelling of 10001020100211 in words is "ten trillion, one billion, twenty million, one hundred thousand, two hundred eleven".