10211011101221 has 32 divisors (see below), whose sum is σ = 11996934174720. Its totient is φ = 8508849338304.

The previous prime is 10211011101211. The next prime is 10211011101287. The reversal of 10211011101221 is 12210111011201.

It is not a de Polignac number, because 10211011101221 - 2²² = 10211006906917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211011101196 and 10211011101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011101211) 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 31 ways as a sum of consecutive naturals, for example, 92011115 + ... + 92122023.

It is an arithmetic number, because the mean of its divisors is an integer number (374904192960).

Almost surely, 2^{10211011101221} is an apocalyptic number.

It is an amenable number.

10211011101221 is a deficient number, since it is larger than the sum of its proper divisors (1785923073499).

10211011101221 is a wasteful number, since it uses less digits than its factorization.

10211011101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112385.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10211011101221 its reverse (12210111011201), we get a palindrome (22421122112422).

The spelling of 10211011101221 in words is "ten trillion, two hundred eleven billion, eleven million, one hundred one thousand, two hundred twenty-one".