102211120212 has 192 divisors, whose sum is σ = 260640737280. Its totient is φ = 31056076800.

The previous prime is 102211120201. The next prime is 102211120213. The reversal of 102211120212 is 212021112201.

It is a super-3 number, since 3×102211120212³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102211120191 and 102211120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211120213) 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, 424112412 + ... + 424112652.

It is an arithmetic number, because the mean of its divisors is an integer number (1357503840).

Almost surely, 2^102211120212 is an apocalyptic number.

102211120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130320368640).

102211120212 is an abundant number, since it is smaller than the sum of its proper divisors (158429617068).

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

102211120212 is a wasteful number, since it uses less digits than its factorization.

102211120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

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

Adding to 102211120212 its reverse (212021112201), we get a palindrome (314232232413).

The spelling of 102211120212 in words is "one hundred two billion, two hundred eleven million, one hundred twenty thousand, two hundred twelve".