10210211211211 has 64 divisors (see below), whose sum is σ = 11961327024000. Its totient is φ = 8612610048000.

The previous prime is 10210211211191. The next prime is 10210211211247. The reversal of 10210211211211 is 11211211201201.

It is a cyclic number.

It is not a de Polignac number, because 10210211211211 - 2³⁹ = 9660455397323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10210211218211) 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 63 ways as a sum of consecutive naturals, for example, 5707216105 + ... + 5707217893.

It is an arithmetic number, because the mean of its divisors is an integer number (186895734750).

Almost surely, 2^{10210211211211} is an apocalyptic number.

10210211211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10210211211211 is a deficient number, since it is larger than the sum of its proper divisors (1751115812789).

10210211211211 is a wasteful number, since it uses less digits than its factorization.

10210211211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040.

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

Adding to 10210211211211 its reverse (11211211201201), we get a palindrome (21421422412412).

The spelling of 10210211211211 in words is "ten trillion, two hundred ten billion, two hundred eleven million, two hundred eleven thousand, two hundred eleven".