102210010221 has 16 divisors (see below), whose sum is σ = 148712905728. Its totient is φ = 61927210800.

The previous prime is 102210010187. The next prime is 102210010261. The reversal of 102210010221 is 122010012201.

It is not a de Polignac number, because 102210010221 - 2¹⁵ = 102209977453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102210010197 and 102210010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210010261) 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, 342115 + ... + 566976.

It is an arithmetic number, because the mean of its divisors is an integer number (9294556608).

Almost surely, 2^102210010221 is an apocalyptic number.

102210010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102210010221 is a deficient number, since it is larger than the sum of its proper divisors (46502895507).

102210010221 is a wasteful number, since it uses less digits than its factorization.

102210010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912512.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102210010221 its reverse (122010012201), we get a palindrome (224220022422).

It can be divided in two parts, 1022100 and 10221, that multiplied together give a square (10446884100 = 102210²).

The spelling of 102210010221 in words is "one hundred two billion, two hundred ten million, ten thousand, two hundred twenty-one".