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101120002120200 = 2335271031132068579
BaseRepresentation
bin10110111111011111010101…
…110011100101101000001000
3111021000222101210220021122010
4112333133111303211220020
5101223222231020321300
6555021515423055520
730204451630114110
oct2677372563455010
9437028353807563
10101120002120200
112a246830005118
12b4118981415a0
134456762b8bbab
141ad833c994040
15ba556b2a9a50
hex5bf7d5ce5a08

101120002120200 has 384 divisors, whose sum is σ = 364933257062400. Its totient is φ = 22686177669120.

The previous prime is 101120002120187. The next prime is 101120002120213. The reversal of 101120002120200 is 2021200021101.

101120002120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101120002120187) and next prime (101120002120213).

It is a super-3 number, since 3×1011200021202003 (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47849511 + ... + 49918089.

It is an arithmetic number, because the mean of its divisors is an integer number (950347023600).

Almost surely, 2101120002120200 is an apocalyptic number.

101120002120200 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 101120002120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182466628531200).

101120002120200 is an abundant number, since it is smaller than the sum of its proper divisors (263813254942200).

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

101120002120200 is a wasteful number, since it uses less digits than its factorization.

101120002120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068821 (or 2068812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101120002120200 its reverse (2021200021101), we get a palindrome (103141202141301).

The spelling of 101120002120200 in words is "one hundred one trillion, one hundred twenty billion, two million, one hundred twenty thousand, two hundred".