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101200222200000 = 263557112190481
BaseRepresentation
bin10111000000101010000011…
…010010111010000011000000
3111021022122110111010120100210
4113000222003102322003000
5101231031023340400000
6555122423521514120
730213321563413560
oct2700520322720300
9437278414116323
10101200222200000
112a277856169430
12b4253457a2940
1344611a878b831
141adc18ca5ada0
15ba76b3c4c350
hex5c0a834ba0c0

101200222200000 has 672 divisors, whose sum is σ = 417260114643456. Its totient is φ = 21028608000000.

The previous prime is 101200222199981. The next prime is 101200222200019. The reversal of 101200222200000 is 2222002101.

It is an interprime number because it is at equal distance from previous prime (101200222199981) and next prime (101200222200019).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45104760 + ... + 47295240.

It is an arithmetic number, because the mean of its divisors is an integer number (620922789648).

Almost surely, 2101200222200000 is an apocalyptic number.

101200222200000 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 101200222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208630057321728).

101200222200000 is an abundant number, since it is smaller than the sum of its proper divisors (316059892443456).

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

101200222200000 is an equidigital number, since it uses as much as digits as its factorization.

101200222200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190539 (or 2190509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101200222200000 its reverse (2222002101), we get a palindrome (101202444202101).

The spelling of 101200222200000 in words is "one hundred one trillion, two hundred billion, two hundred twenty-two million, two hundred thousand".