102221121210 has 128 divisors (see below), whose sum is σ = 282461437440. Its totient is φ = 23451918336.

The previous prime is 102221121203. The next prime is 102221121217. The reversal of 102221121210 is 12121122201.

102221121210 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102221121203) and next prime (102221121217).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102221121210.

It is not an unprimeable number, because it can be changed into a prime (102221121217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608046 + ... + 757734.

It is an arithmetic number, because the mean of its divisors is an integer number (2206729980).

Almost surely, 2^102221121210 is an apocalyptic number.

102221121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141230718720).

102221121210 is an abundant number, since it is smaller than the sum of its proper divisors (180240316230).

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

102221121210 is a wasteful number, since it uses less digits than its factorization.

102221121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149832.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102221121210 its reverse (12121122201), we get a palindrome (114342243411).

Subtracting from 102221121210 its reverse (12121122201), we obtain a palindrome (90099999009).

The spelling of 102221121210 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred ten".