102212211216 has 40 divisors (see below), whose sum is σ = 277945489120. Its totient is φ = 32277540096.

The previous prime is 102212211089. The next prime is 102212211217. The reversal of 102212211216 is 612112212201.

102212211216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102212211216² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212211192 and 102212211201.

It is not an unprimeable number, because it can be changed into a prime (102212211217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56036485 + ... + 56038308.

It is an arithmetic number, because the mean of its divisors is an integer number (6948637228).

Almost surely, 2^102212211216 is an apocalyptic number.

102212211216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102212211216 is an abundant number, since it is smaller than the sum of its proper divisors (175733277904).

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

102212211216 is a wasteful number, since it uses less digits than its factorization.

102212211216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112074823 (or 112074817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 102212211216 its reverse (612112212201), we get a palindrome (714324423417).

The spelling of 102212211216 in words is "one hundred two billion, two hundred twelve million, two hundred eleven thousand, two hundred sixteen".