102220010214 has 128 divisors (see below), whose sum is σ = 242894868480. Its totient is φ = 28075292544.

The previous prime is 102220010197. The next prime is 102220010227. The reversal of 102220010214 is 412010022201.

It is a junction number, because it is equal to n+sod(n) for n = 102220010193 and 102220010202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45571777 + ... + 45574019.

It is an arithmetic number, because the mean of its divisors is an integer number (1897616160).

Almost surely, 2^102220010214 is an apocalyptic number.

102220010214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220010214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121447434240).

102220010214 is an abundant number, since it is smaller than the sum of its proper divisors (140674858266).

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

102220010214 is a wasteful number, since it uses less digits than its factorization.

102220010214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220010214 its reverse (412010022201), we get a palindrome (514230032415).

The spelling of 102220010214 in words is "one hundred two billion, two hundred twenty million, ten thousand, two hundred fourteen".