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2102112212200 = 23527112132101727
BaseRepresentation
bin11110100101101111101…
…001101101010011101000
321102221220210222200122021
4132211233221231103220
5233420111211242300
64245410320034224
7304605204662440
oct36455751552350
97387823880567
102102112212200
117405565a6200
1229b4a1162974
131232c7849400
1473a58259120
1539a32892d1a
hex1e96fa6d4e8

2102112212200 has 864 divisors, whose sum is σ = 6723218436480. Its totient is φ = 597991680000.

The previous prime is 2102112212183. The next prime is 2102112212237. The reversal of 2102112212200 is 22122112012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2891488237 + ... + 2891488963.

It is an arithmetic number, because the mean of its divisors is an integer number (7781502820).

Almost surely, 22102112212200 is an apocalyptic number.

2102112212200 is a gapful number since it is divisible by the number (20) 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 2102112212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361609218240).

2102112212200 is an abundant number, since it is smaller than the sum of its proper divisors (4621106224280).

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

2102112212200 is a wasteful number, since it uses less digits than its factorization.

2102112212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102112212200 its reverse (22122112012), we get a palindrome (2124234324212).

It can be divided in two parts, 21021 and 12212200, that added together give a palindrome (12233221).

The spelling of 2102112212200 in words is "two trillion, one hundred two billion, one hundred twelve million, two hundred twelve thousand, two hundred".