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101210101200 = 2432521312171777
BaseRepresentation
bin101111001000010010…
…1111001010111010000
3100200020111122212000200
41132100211321113100
53124234241214300
6114254551415200
710212036444225
oct1362045712720
9320214585020
10101210101200
1139a1751103a
1217747084500
13970c42c860
144c81a5d94c
1529755bd200
hex17909795d0

101210101200 has 360 divisors, whose sum is σ = 378768470808. Its totient is φ = 24878776320.

The previous prime is 101210101081. The next prime is 101210101219. The reversal of 101210101200 is 2101012101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 53122874256 + 48087226944 = 230484^2 + 219288^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56954712 + ... + 56956488.

Almost surely, 2101210101200 is an apocalyptic number.

101210101200 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 101210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189384235404).

101210101200 is an abundant number, since it is smaller than the sum of its proper divisors (277558369608).

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

101210101200 is a wasteful number, since it uses less digits than its factorization.

101210101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101210101200 its reverse (2101012101), we get a palindrome (103311113301).

The spelling of 101210101200 in words is "one hundred one billion, two hundred ten million, one hundred one thousand, two hundred".