10211200211091 has 16 divisors (see below), whose sum is σ = 14852911805568. Its totient is φ = 6188499124800.

The previous prime is 10211200211077. The next prime is 10211200211117. The reversal of 10211200211091 is 19011200211201.

10211200211091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211200211091 - 2⁶ = 10211200211027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211200212091) 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, 718821 + ... + 4575926.

It is an arithmetic number, because the mean of its divisors is an integer number (928306987848).

Almost surely, 2^{10211200211091} is an apocalyptic number.

10211200211091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10211200211091 is a deficient number, since it is larger than the sum of its proper divisors (4641711594477).

10211200211091 is a wasteful number, since it uses less digits than its factorization.

10211200211091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353202.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 10211200211091 its reverse (19011200211201), we get a palindrome (29222400422292).

The spelling of 10211200211091 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred eleven thousand, ninety-one".