10100202210211 has 8 divisors (see below), whose sum is σ = 10346706864144. Its totient is φ = 9853705092480.

The previous prime is 10100202210191. The next prime is 10100202210221. The reversal of 10100202210211 is 11201220200101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100202210211 - 2⁷ = 10100202210083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100202210191 and 10100202210200.

It is not an unprimeable number, because it can be changed into a prime (10100202210221) 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 7 ways as a sum of consecutive naturals, for example, 877920 + ... + 4579426.

It is an arithmetic number, because the mean of its divisors is an integer number (1293338358018).

Almost surely, 2^{10100202210211} is an apocalyptic number.

10100202210211 is a deficient number, since it is larger than the sum of its proper divisors (246504653933).

10100202210211 is an equidigital number, since it uses as much as digits as its factorization.

10100202210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768101.

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

Adding to 10100202210211 its reverse (11201220200101), we get a palindrome (21301422410312).

The spelling of 10100202210211 in words is "ten trillion, one hundred billion, two hundred two million, two hundred ten thousand, two hundred eleven".