10211201011011 has 64 divisors (see below), whose sum is σ = 18774251467776. Its totient is φ = 4764142656000.

The previous prime is 10211201010977. The next prime is 10211201011061. The reversal of 10211201011011 is 11011010211201.

It is not a de Polignac number, because 10211201011011 - 2⁶ = 10211201010947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211201011061) 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 63 ways as a sum of consecutive naturals, for example, 45839340 + ... + 46061561.

It is an arithmetic number, because the mean of its divisors is an integer number (293347679184).

Almost surely, 2^{10211201011011} is an apocalyptic number.

10211201011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10211201011011 is a deficient number, since it is larger than the sum of its proper divisors (8563050456765).

10211201011011 is a wasteful number, since it uses less digits than its factorization.

10211201011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91900972.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10211201011011 its reverse (11011010211201), we get a palindrome (21222211222212).

The spelling of 10211201011011 in words is "ten trillion, two hundred eleven billion, two hundred one million, eleven thousand, eleven".