10211011011201 has 256 divisors, whose sum is σ = 19960048926720. Its totient is φ = 4470882324480.

The previous prime is 10211011011151. The next prime is 10211011011209.

10211011011201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10211011011201 - 2⁹ = 10211011010689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211011011209) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135406615 + ... + 135482003.

It is an arithmetic number, because the mean of its divisors is an integer number (77968941120).

Almost surely, 2^{10211011011201} is an apocalyptic number.

10211011011201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211011011201 is a deficient number, since it is larger than the sum of its proper divisors (9749037915519).

10211011011201 is a wasteful number, since it uses less digits than its factorization.

10211011011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75536.

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

It can be divided in two parts, 1021101 and 1011201, that multiplied together give a palindrome (1032538352301).

The spelling of 10211011011201 in words is "ten trillion, two hundred eleven billion, eleven million, eleven thousand, two hundred one".