102216220224 has 112 divisors (see below), whose sum is σ = 282587687808. Its totient is φ = 32546562048.

The previous prime is 102216220219. The next prime is 102216220283. The reversal of 102216220224 is 422022612201.

It is a super-2 number, since 2×102216220224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102216220194 and 102216220203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327624 + ... + 3358200.

Almost surely, 2^102216220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102216220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141293843904).

102216220224 is an abundant number, since it is smaller than the sum of its proper divisors (180371467584).

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

102216220224 is a wasteful number, since it uses less digits than its factorization.

102216220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31372 (or 31362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102216220224 its reverse (422022612201), we get a palindrome (524238832425).

The spelling of 102216220224 in words is "one hundred two billion, two hundred sixteen million, two hundred twenty thousand, two hundred twenty-four".