10100221311211 has 8 divisors (see below), whose sum is σ = 10160831175264. Its totient is φ = 10039612989120.

The previous prime is 10100221311179. The next prime is 10100221311217. The reversal of 10100221311211 is 11211312200101.

It is a happy number.

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 10100221311211 - 2⁵ = 10100221311179 is a prime.

It is a super-2 number, since 2×10100221311211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100221311217) 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, 14465311 + ... + 15147463.

It is an arithmetic number, because the mean of its divisors is an integer number (1270103896908).

Almost surely, 2^{10100221311211} is an apocalyptic number.

10100221311211 is a deficient number, since it is larger than the sum of its proper divisors (60609864053).

10100221311211 is an equidigital number, since it uses as much as digits as its factorization.

10100221311211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770981.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10100221311211 its reverse (11211312200101), we get a palindrome (21311533511312).

The spelling of 10100221311211 in words is "ten trillion, one hundred billion, two hundred twenty-one million, three hundred eleven thousand, two hundred eleven".