10212211011311 has 16 divisors (see below), whose sum is σ = 11409859922400. Its totient is φ = 9083361420288.

The previous prime is 10212211011293. The next prime is 10212211011341. The reversal of 10212211011311 is 11311011221201.

It is a de Polignac number, because none of the positive numbers 2^k-10212211011311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10212211011311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212211011341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38519180 + ... + 38783393.

It is an arithmetic number, because the mean of its divisors is an integer number (713116245150).

Almost surely, 2^{10212211011311} is an apocalyptic number.

10212211011311 is a deficient number, since it is larger than the sum of its proper divisors (1197648911089).

10212211011311 is a wasteful number, since it uses less digits than its factorization.

10212211011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77303018.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 10212211011311 its reverse (11311011221201), we get a palindrome (21523222232512).

The spelling of 10212211011311 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, eleven thousand, three hundred eleven".