10122211210221 has 72 divisors (see below), whose sum is σ = 16241867073432. Its totient is φ = 6069788524800.

The previous prime is 10122211210217. The next prime is 10122211210247. The reversal of 10122211210221 is 12201211222101.

10122211210221 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 211 + 210 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2423034692100 + 7699176518121 = 1556610^2 + 2774739^2 .

It is not a de Polignac number, because 10122211210221 - 2² = 10122211210217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122211210194 and 10122211210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122211210211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38700135 + ... + 38960811.

It is an arithmetic number, because the mean of its divisors is an integer number (225581487131).

Almost surely, 2^{10122211210221} is an apocalyptic number.

10122211210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122211210221 is a deficient number, since it is larger than the sum of its proper divisors (6119655863211).

10122211210221 is a wasteful number, since it uses less digits than its factorization.

10122211210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261083 (or 261069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122211210221 its reverse (12201211222101), we get a palindrome (22323422432322).

The spelling of 10122211210221 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, two hundred ten thousand, two hundred twenty-one".