10210102123221 has 192 divisors, whose sum is σ = 21406943201280. Its totient is φ = 4512909841920.

The previous prime is 10210102123159. The next prime is 10210102123307. The reversal of 10210102123221 is 12232120101201.

10210102123221 is a `hidden beast` number, since 10 + 210 + 10 + 212 + 3 + 221 = 666.

It is not a de Polignac number, because 10210102123221 - 2⁶ = 10210102123157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10210102123194 and 10210102123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210102123021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5527266 + ... + 7139388.

It is an arithmetic number, because the mean of its divisors is an integer number (111494495840).

Almost surely, 2^{10210102123221} is an apocalyptic number.

10210102123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210102123221 is an abundant number, since it is smaller than the sum of its proper divisors (11196841078059).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10210102123221 is a wasteful number, since it uses less digits than its factorization.

10210102123221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612216 (or 1612213 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10210102123221 its reverse (12232120101201), we get a palindrome (22442222224422).

The spelling of 10210102123221 in words is "ten trillion, two hundred ten billion, one hundred two million, one hundred twenty-three thousand, two hundred twenty-one".