102211201120 has 384 divisors, whose sum is σ = 295026278400. Its totient is φ = 33408184320.

The previous prime is 102211201117. The next prime is 102211201123. The reversal of 102211201120 is 21102112201.

It is an interprime number because it is at equal distance from previous prime (102211201117) and next prime (102211201123).

It is a self number, because there is not a number n which added to its sum of digits gives 102211201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211201123) 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, 124193029 + ... + 124193851.

It is an arithmetic number, because the mean of its divisors is an integer number (768297600).

Almost surely, 2^102211201120 is an apocalyptic number.

102211201120 is a gapful number since it is divisible by the number (10) 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 102211201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147513139200).

102211201120 is an abundant number, since it is smaller than the sum of its proper divisors (192815077280).

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

102211201120 is an equidigital number, since it uses as much as digits as its factorization.

102211201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102211201120 its reverse (21102112201), we get a palindrome (123313313321).

The spelling of 102211201120 in words is "one hundred two billion, two hundred eleven million, two hundred one thousand, one hundred twenty".