10100211311 has 8 divisors (see below), whose sum is σ = 10858010880. Its totient is φ = 9365032728.

The previous prime is 10100211299. The next prime is 10100211361. The reversal of 10100211311 is 11311200101.

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 a de Polignac number, because none of the positive numbers 2^k-10100211311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100211292 and 10100211301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5654321 + ... + 5656106.

It is an arithmetic number, because the mean of its divisors is an integer number (1357251360).

Almost surely, 2^10100211311 is an apocalyptic number.

10100211311 is a deficient number, since it is larger than the sum of its proper divisors (757799569).

10100211311 is a wasteful number, since it uses less digits than its factorization.

10100211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310493.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10100211311 its reverse (11311200101), we get a palindrome (21411411412).

The spelling of 10100211311 in words is "ten billion, one hundred million, two hundred eleven thousand, three hundred eleven".