10211214311011 has 16 divisors (see below), whose sum is σ = 11688689422080. Its totient is φ = 8738424082080.

The previous prime is 10211214310991. The next prime is 10211214311029. The reversal of 10211214311011 is 11011341211201.

It is not a de Polignac number, because 10211214311011 - 2⁹ = 10211214310499 is a prime.

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 10211214311011.

It is not an unprimeable number, because it can be changed into a prime (10211214312011) 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, 56238705 + ... + 56419981.

It is an arithmetic number, because the mean of its divisors is an integer number (730543088880).

Almost surely, 2^{10211214311011} is an apocalyptic number.

10211214311011 is a deficient number, since it is larger than the sum of its proper divisors (1477475111069).

10211214311011 is a wasteful number, since it uses less digits than its factorization.

10211214311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194154.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 10211214311011 its reverse (11011341211201), we get a palindrome (21222555522212).

The spelling of 10211214311011 in words is "ten trillion, two hundred eleven billion, two hundred fourteen million, three hundred eleven thousand, eleven".