10002100010211 has 24 divisors (see below), whose sum is σ = 14893109964720. Its totient is φ = 6463730200896.

The previous prime is 10002100010173. The next prime is 10002100010233. The reversal of 10002100010211 is 11201000120001.

It is a happy number.

It is not a de Polignac number, because 10002100010211 - 2¹⁴ = 10002099993827 is a prime.

It is a super-2 number, since 2×10002100010211² (a number of 27 digits) contains 22 as substring.

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 = 10002100010193 and 10002100010202.

It is not an unprimeable number, because it can be changed into a prime (10002100010611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55740045 + ... + 55919198.

It is an arithmetic number, because the mean of its divisors is an integer number (620546248530).

Almost surely, 2^{10002100010211} is an apocalyptic number.

10002100010211 is a deficient number, since it is larger than the sum of its proper divisors (4891009954509).

10002100010211 is a wasteful number, since it uses less digits than its factorization.

10002100010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111659555 (or 111659552 counting only the distinct ones).

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

Adding to 10002100010211 its reverse (11201000120001), we get a palindrome (21203100130212).

The spelling of 10002100010211 in words is "ten trillion, two billion, one hundred million, ten thousand, two hundred eleven".