10100221311 has 8 divisors (see below), whose sum is σ = 14052481920. Its totient is φ = 6440720792.

The previous prime is 10100221277. The next prime is 10100221331. The reversal of 10100221311 is 11312200101.

10100221311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10100221311 - 2⁶ = 10100221247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100221331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73189941 + ... + 73190078.

It is an arithmetic number, because the mean of its divisors is an integer number (1756560240).

Almost surely, 2^10100221311 is an apocalyptic number.

10100221311 is a deficient number, since it is larger than the sum of its proper divisors (3952260609).

10100221311 is a wasteful number, since it uses less digits than its factorization.

10100221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146380045.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10100221311 its reverse (11312200101), we get a palindrome (21412421412).

The spelling of 10100221311 in words is "ten billion, one hundred million, two hundred twenty-one thousand, three hundred eleven".